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Finding the Third Proportional to 56,737.97 and 85,351.78

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Solution

The third proportional to 56,737.97 and 85,351.78 is: 128,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,737.97 : 85,351.78 = 85,351.78 : x
  2. Step 2: Convert to fraction form
    56,737.97/85,351.78 = 85,351.78/x
  3. Step 3: Cross multiply
    56,737.97x = 85,351.78 × 85,351.78
  4. Step 4: Simplify right side
    56,737.97x = 7,284,926,562.55
  5. Step 5: Solve for x
    x = 7,284,926,562.55/56,737.97
  6. Step 6: Final answer
    x = 128,395.97

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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.