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First of all you need to understand what actually the boiling point of a liqiud is. The Boiling point of a liquid is the temperature at which the vapour pressure of the liquid equals the external pressure.
Also the vapour pressure of a liquid is a function of the temperature. As the temperature increases, the vapour pressure increases.
Now if we increase the external pressure, a higher temperature would be required so that the vapour pressure equals the external pressure and hence the boiling point of the liquid increases.
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