Which of the following are in proportion?
$25 : 40$ and $125 : 200$

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Solution

First we write ratios in simplest fraction form,
$25 : 40 = \frac{25}{40}$ $=$ $\frac{25 \div 5}{40 \div 5} = \frac{5}{8}$ and $125 : 200$ $= \frac{125}{200} = \frac{125 \div 25}{200 \div 25} = \frac{5}{8}$
So, $25 : 40 = 125 : 200$
Hence, these ratios are in proportion .

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