Finding the Third Proportional to 53,524 and 117,641
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Solution
The third proportional to 53,524 and 117,641 is: 258,564.47
Step by Step Solution
- Step 1: Write the proportion equation
53,524 : 117,641 = 117,641 : x - Step 2: Convert to fraction form
53,524/117,641 = 117,641/x - Step 3: Cross multiply
53,524x = 117,641 × 117,641 - Step 4: Simplify right side
53,524x = 13,839,404,881 - Step 5: Solve for x
x = 13,839,404,881/53,524 - Step 6: Final answer
x = 258,564.47
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.