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Finding the Third Proportional to 62,632 and 97,792

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Solution

The third proportional to 62,632 and 97,792 is: 152,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,632 : 97,792 = 97,792 : x
  2. Step 2: Convert to fraction form
    62,632/97,792 = 97,792/x
  3. Step 3: Cross multiply
    62,632x = 97,792 × 97,792
  4. Step 4: Simplify right side
    62,632x = 9,563,275,264
  5. Step 5: Solve for x
    x = 9,563,275,264/62,632
  6. Step 6: Final answer
    x = 152,689.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.