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Finding the Third Proportional to 86,086.13 and 126,294.19

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Solution

The third proportional to 86,086.13 and 126,294.19 is: 185,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,086.13 : 126,294.19 = 126,294.19 : x
  2. Step 2: Convert to fraction form
    86,086.13/126,294.19 = 126,294.19/x
  3. Step 3: Cross multiply
    86,086.13x = 126,294.19 × 126,294.19
  4. Step 4: Simplify right side
    86,086.13x = 15,950,221,796.29
  5. Step 5: Solve for x
    x = 15,950,221,796.29/86,086.13
  6. Step 6: Final answer
    x = 185,282.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.