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Finding the Third Proportional to 39,951 and 86,131.13

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Solution

The third proportional to 39,951 and 86,131.13 is: 185,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,951 : 86,131.13 = 86,131.13 : x
  2. Step 2: Convert to fraction form
    39,951/86,131.13 = 86,131.13/x
  3. Step 3: Cross multiply
    39,951x = 86,131.13 × 86,131.13
  4. Step 4: Simplify right side
    39,951x = 7,418,570,693.77
  5. Step 5: Solve for x
    x = 7,418,570,693.77/39,951
  6. Step 6: Final answer
    x = 185,691.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.