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Finding the Third Proportional to 57,449.25 and 86,244.75

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Solution

The third proportional to 57,449.25 and 86,244.75 is: 129,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,449.25 : 86,244.75 = 86,244.75 : x
  2. Step 2: Convert to fraction form
    57,449.25/86,244.75 = 86,244.75/x
  3. Step 3: Cross multiply
    57,449.25x = 86,244.75 × 86,244.75
  4. Step 4: Simplify right side
    57,449.25x = 7,438,156,902.56
  5. Step 5: Solve for x
    x = 7,438,156,902.56/57,449.25
  6. Step 6: Final answer
    x = 129,473.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.