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Resistance and potential difference

Why does potential difference increase as resistance increases?

I know that according to R = V/I formula, the two are directly proportional but I am looking for some other explanation. Why are they proportional to one another?
i think its because potential difference is the difference in how much energy charge carriers have before and after a resistor - this is why a voltmeter has to be placed in parallel.
energy/ voltage from charge carriers in turned into heat in going through a resistor, and so the greater the resistance, the more energy is used up, and the greater the potential difference measured across a resistor will be.

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