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Finding the Third Proportional to 57,468.38 and 86,280.19

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Solution

The third proportional to 57,468.38 and 86,280.19 is: 129,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468.38 : 86,280.19 = 86,280.19 : x
  2. Step 2: Convert to fraction form
    57,468.38/86,280.19 = 86,280.19/x
  3. Step 3: Cross multiply
    57,468.38x = 86,280.19 × 86,280.19
  4. Step 4: Simplify right side
    57,468.38x = 7,444,270,755.04
  5. Step 5: Solve for x
    x = 7,444,270,755.04/57,468.38
  6. Step 6: Final answer
    x = 129,536.82

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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.