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Finding the Third Proportional to 95,376 and 125,448

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Solution

The third proportional to 95,376 and 125,448 is: 165,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,376 : 125,448 = 125,448 : x
  2. Step 2: Convert to fraction form
    95,376/125,448 = 125,448/x
  3. Step 3: Cross multiply
    95,376x = 125,448 × 125,448
  4. Step 4: Simplify right side
    95,376x = 15,737,200,704
  5. Step 5: Solve for x
    x = 15,737,200,704/95,376
  6. Step 6: Final answer
    x = 165,001.68

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.