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Can someone help?

"The survey revealed that the higher their educational background, the larger the proportion of the respondents who preferred shopping at supermarkets"

Do we need to put "was" after "the larger" such that it reads

"The survey revealed that the higher their educational background, the larger was the proportion of the respondents who preferred shopping at supermarkets"

Which one is correct? first or second?

Thanks for the help.
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Sorry, I think I know what you are trying to say, but it's not very clear.

Do you mean that the survey showed a relationship between the respondents level of education and their disposition toward shopping at shopping centres (as opposed to ?) ?
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Thanks. Yes that was the meaning. I want to know in such usage, say, the higher...the larger..., do we need to put a is/was after "the larger" (grammatically)
I should think so. If it were the same verb in both sentences you probably wouldn't.

e.g. The more you work, the more you earn, or the older you get, the more you learn.

Sometimes you don't need a verb.

The longer, the better.
The sooner, the better.
The more, the merrier.

The verb to be is elliptical.
Ah, I think that grammatically both of your sentences are O.K. The first is probably more usual.
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