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Finding the Third Proportional to 57,415.13 and 81,657.38

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Solution

The third proportional to 57,415.13 and 81,657.38 is: 116,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,415.13 : 81,657.38 = 81,657.38 : x
  2. Step 2: Convert to fraction form
    57,415.13/81,657.38 = 81,657.38/x
  3. Step 3: Cross multiply
    57,415.13x = 81,657.38 × 81,657.38
  4. Step 4: Simplify right side
    57,415.13x = 6,667,926,891.89
  5. Step 5: Solve for x
    x = 6,667,926,891.89/57,415.13
  6. Step 6: Final answer
    x = 116,135.37

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.