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Finding the Third Proportional to 81,366 and 119,552

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Solution

The third proportional to 81,366 and 119,552 is: 175,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,366 : 119,552 = 119,552 : x
  2. Step 2: Convert to fraction form
    81,366/119,552 = 119,552/x
  3. Step 3: Cross multiply
    81,366x = 119,552 × 119,552
  4. Step 4: Simplify right side
    81,366x = 14,292,680,704
  5. Step 5: Solve for x
    x = 14,292,680,704/81,366
  6. Step 6: Final answer
    x = 175,659.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.