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Finding the Third Proportional to 87,722 and 133,771

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Solution

The third proportional to 87,722 and 133,771 is: 203,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,722 : 133,771 = 133,771 : x
  2. Step 2: Convert to fraction form
    87,722/133,771 = 133,771/x
  3. Step 3: Cross multiply
    87,722x = 133,771 × 133,771
  4. Step 4: Simplify right side
    87,722x = 17,894,680,441
  5. Step 5: Solve for x
    x = 17,894,680,441/87,722
  6. Step 6: Final answer
    x = 203,993.07

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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.