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Finding the Third Proportional to 57,694 and 87,624

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Solution

The third proportional to 57,694 and 87,624 is: 133,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,694 : 87,624 = 87,624 : x
  2. Step 2: Convert to fraction form
    57,694/87,624 = 87,624/x
  3. Step 3: Cross multiply
    57,694x = 87,624 × 87,624
  4. Step 4: Simplify right side
    57,694x = 7,677,965,376
  5. Step 5: Solve for x
    x = 7,677,965,376/57,694
  6. Step 6: Final answer
    x = 133,080.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.