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Finding the Third Proportional to 80,766 and 187,695

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Solution

The third proportional to 80,766 and 187,695 is: 436,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,766 : 187,695 = 187,695 : x
  2. Step 2: Convert to fraction form
    80,766/187,695 = 187,695/x
  3. Step 3: Cross multiply
    80,766x = 187,695 × 187,695
  4. Step 4: Simplify right side
    80,766x = 35,229,413,025
  5. Step 5: Solve for x
    x = 35,229,413,025/80,766
  6. Step 6: Final answer
    x = 436,191.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.