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The phrase "a relatively large proportion" is correct and usable in written English.
It can be used when discussing a significant part or share of a whole in a comparative context.
Example: "In the survey, a relatively large proportion of respondents indicated that they preferred online shopping over traditional retail."
Alternatives: "a considerable percentage" or "a significant share".
Exact(60)
Both companies want to hold on to a relatively large proportion of the ad revenue they generate.
A relatively large proportion of MLLs (42%) were diagnosed in women older than 55 years.
They found "to their surprise" that "a relatively large proportion of genetically modified DNA survived the passage through the small bowel".
Occupied habitat by sage-grouse was more variable but also had a relatively large proportion of treeless areas (−x = 71, SE = 5%).
Still, screening for the right clone can be tedious because the high incidence of illegitimate assembly results in a relatively large proportion of missing or shuffled DNA elements.
The influence of intersection features on safety has been examined extensively because intersections experience a relatively large proportion of motor vehicle conflicts and crashes.
The scientists said that high prevalence of the gene variant could explain why a relatively large proportion of people have difficulty with remembering faces.
There was substantial variation among clinical researchers in their acceptability judgments, with a relatively large proportion of clinical trial investigators willing to accept provisions that give industry sponsors considerable control over the dissemination of research results.
Although the nuclear household still occupied the largest proportion, the single-person household was becoming more numerous, and the extended-family household still maintained a relatively large proportion.
These hypotheses represent general rules covering a relatively large proportion of the dataset and are therefore key elements of knowledge for the studied endpoint.
This indicates that a relatively large proportion of the DIN is discharged in the effluent of these STPs to rivers and coastal areas.
More suggestions(16)
a relatively large incidence
a relatively large representation
a fairly large proportion
a quite large proportion
a relatively wide proportion
a relatively large amount
a relatively large rate
a relatively large percentage
a relatively large ratio
a relatively large fraction
a reasonably large proportion
a relatively large quake
a relatively large coverage
a relatively large brain
a relatively large frog
a relatively large capacity
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com