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The phrase "increases proportionally to" is correct and usable in written English.
You can use it when referring to a situation where one quantity increases in direct proportion to another. For example: "As the temperature of the room increases, the humidity increases proportionally to it."
Exact(60)
At this point, the power output from the generator increases proportionally to the deceleration torque.
The noise level increases proportionally to the intensity of the illumination.
The width of the alumina stripes increases proportionally to the anodizing voltage.
For a fixed patterning dimension, the island volume increases proportionally to the thickness of the deposited Ge.
Photosynthesis of healthy leaves increases proportionally to the increases in PPFD until its rate begins to saturate.
Moreover, our correlations corroborate that during migraine attack visual cortex habituation increases proportionally to cortical preactivation and enhanced thalamic drive.
The critical load increases proportionally to the product of the scratch depth and the composite hardness at the critical load.
We observed that the sorption decreases, as the crystallinity increases, proportionally to the decrease of the amorphous fraction.
Results show that the above correlation increases proportionally to the distance from the crack front until the edge of the plastic zone.
In this way the acoustic peak pressure amplitude probing the tissue can be markedly decreased whereas the average transmitted intensity increases proportionally to the length of the code.
Opposite to this the rotational wave is strongly dispersive: its velocity increases proportionally to the wavelength, but marginally depends upon the propagation direction.
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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