Is it true that the following numbers are in continued proportion?

36, 90, 225

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True

False

answer is A.

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Detailed Solution

Given, 36, 90, 225.
For the numbers to be in continued proportion,
36:90:: 90:225.
We know that, the product of extremes = product of means.
Therefore,

36 \times 225 = 90^{2}

\Rightarrow 8100 = 8100

This equation holds correct.
So these numbers are in continued proportion.
Hence, option 1 is correct.

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