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Finding the Third Proportional to 41,077.13 and 86,892.75

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Solution

The third proportional to 41,077.13 and 86,892.75 is: 183,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,077.13 : 86,892.75 = 86,892.75 : x
  2. Step 2: Convert to fraction form
    41,077.13/86,892.75 = 86,892.75/x
  3. Step 3: Cross multiply
    41,077.13x = 86,892.75 × 86,892.75
  4. Step 4: Simplify right side
    41,077.13x = 7,550,350,002.56
  5. Step 5: Solve for x
    x = 7,550,350,002.56/41,077.13
  6. Step 6: Final answer
    x = 183,809.12

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.