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Finding the Third Proportional to 81,418 and 176,761

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Solution

The third proportional to 81,418 and 176,761 is: 383,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,418 : 176,761 = 176,761 : x
  2. Step 2: Convert to fraction form
    81,418/176,761 = 176,761/x
  3. Step 3: Cross multiply
    81,418x = 176,761 × 176,761
  4. Step 4: Simplify right side
    81,418x = 31,244,451,121
  5. Step 5: Solve for x
    x = 31,244,451,121/81,418
  6. Step 6: Final answer
    x = 383,753.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.