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Finding the Third Proportional to 42,318.56 and 65,737.97

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Solution

The third proportional to 42,318.56 and 65,737.97 is: 102,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,318.56 : 65,737.97 = 65,737.97 : x
  2. Step 2: Convert to fraction form
    42,318.56/65,737.97 = 65,737.97/x
  3. Step 3: Cross multiply
    42,318.56x = 65,737.97 × 65,737.97
  4. Step 4: Simplify right side
    42,318.56x = 4,321,480,535.38
  5. Step 5: Solve for x
    x = 4,321,480,535.38/42,318.56
  6. Step 6: Final answer
    x = 102,117.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.