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Voltage and current are actually inversely proportional to one another. The formula P=IV is what you need to look at here, where P is Power, V is voltage, and I is current. Rearranging the equation you will see that V = P/I. You can see that if you increase voltage, while holding power constant, current is reduced. Now, to your question. The losses on a transmission line are proportional to the current flowing on the line, so transmitting at high voltage (and hence low current) is beneficial as it reduces the amount of power that is lost due to resistance in the line itself.

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