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Finding the Third Proportional to 61,632 and 91,542

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Solution

The third proportional to 61,632 and 91,542 is: 135,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,632 : 91,542 = 91,542 : x
  2. Step 2: Convert to fraction form
    61,632/91,542 = 91,542/x
  3. Step 3: Cross multiply
    61,632x = 91,542 × 91,542
  4. Step 4: Simplify right side
    61,632x = 8,379,937,764
  5. Step 5: Solve for x
    x = 8,379,937,764/61,632
  6. Step 6: Final answer
    x = 135,967.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.