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Finding the Third Proportional to 60,648.75 and 82,397.25

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Solution

The third proportional to 60,648.75 and 82,397.25 is: 111,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,648.75 : 82,397.25 = 82,397.25 : x
  2. Step 2: Convert to fraction form
    60,648.75/82,397.25 = 82,397.25/x
  3. Step 3: Cross multiply
    60,648.75x = 82,397.25 × 82,397.25
  4. Step 4: Simplify right side
    60,648.75x = 6,789,306,807.56
  5. Step 5: Solve for x
    x = 6,789,306,807.56/60,648.75
  6. Step 6: Final answer
    x = 111,944.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.