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Finding the Third Proportional to 87,092 and 188,677

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Solution

The third proportional to 87,092 and 188,677 is: 408,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,092 : 188,677 = 188,677 : x
  2. Step 2: Convert to fraction form
    87,092/188,677 = 188,677/x
  3. Step 3: Cross multiply
    87,092x = 188,677 × 188,677
  4. Step 4: Simplify right side
    87,092x = 35,599,010,329
  5. Step 5: Solve for x
    x = 35,599,010,329/87,092
  6. Step 6: Final answer
    x = 408,751.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.