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Finding the Third Proportional to 86,601 and 187,691

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Solution

The third proportional to 86,601 and 187,691 is: 406,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,601 : 187,691 = 187,691 : x
  2. Step 2: Convert to fraction form
    86,601/187,691 = 187,691/x
  3. Step 3: Cross multiply
    86,601x = 187,691 × 187,691
  4. Step 4: Simplify right side
    86,601x = 35,227,911,481
  5. Step 5: Solve for x
    x = 35,227,911,481/86,601
  6. Step 6: Final answer
    x = 406,784.12

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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.