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Finding the Third Proportional to 61,632 and 80,937

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Solution

The third proportional to 61,632 and 80,937 is: 106,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,632 : 80,937 = 80,937 : x
  2. Step 2: Convert to fraction form
    61,632/80,937 = 80,937/x
  3. Step 3: Cross multiply
    61,632x = 80,937 × 80,937
  4. Step 4: Simplify right side
    61,632x = 6,550,797,969
  5. Step 5: Solve for x
    x = 6,550,797,969/61,632
  6. Step 6: Final answer
    x = 106,288.91

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.