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The phrase "about a third of" is correct and usable in written English
It is used to indicate approximate proportions; for example, "About a third of the students in my class are international students."
Exact(60)
Collectively, they employ about a third of our country's workforce.
About a third of Pennsylvanians disagreed.
It's about a third of this size.
About a third of students are minorities.
About a third of them are fatal.
About a third of them were Democrats.
Pakistan controls about a third of Kashmir.
About a third of them cost between $250 and $1,000.
(Hatch says it's about a third of the time).
About a third of its borrowers are men.
The new party won about a third of the seats.
More suggestions(25)
about a third of the artists
about a seventh of
about a third of the continent
about a third of the recipients
about a fifth of the region
about a third of the practitioners
about a third of the stage
about a third of a Sky
about a third of the tenants
about a third of a euro
about a fifteenth of
about a third of the applicants
about a ninth of
about a third of the soundnails
about a third of the dealers
about a fiftieth of
about a third of the field
about a fifth of
about a sixth of
about a proportion of
about a tier of
about a one of
about a provision of
about a half of
about a series of
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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