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Finding the Third Proportional to 80,704 and 133,376

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Solution

The third proportional to 80,704 and 133,376 is: 220,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,704 : 133,376 = 133,376 : x
  2. Step 2: Convert to fraction form
    80,704/133,376 = 133,376/x
  3. Step 3: Cross multiply
    80,704x = 133,376 × 133,376
  4. Step 4: Simplify right side
    80,704x = 17,789,157,376
  5. Step 5: Solve for x
    x = 17,789,157,376/80,704
  6. Step 6: Final answer
    x = 220,424.73

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.