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Finding the Third Proportional to 60,078.38 and 129,792.94

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Solution

The third proportional to 60,078.38 and 129,792.94 is: 280,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,078.38 : 129,792.94 = 129,792.94 : x
  2. Step 2: Convert to fraction form
    60,078.38/129,792.94 = 129,792.94/x
  3. Step 3: Cross multiply
    60,078.38x = 129,792.94 × 129,792.94
  4. Step 4: Simplify right side
    60,078.38x = 16,846,206,624.88
  5. Step 5: Solve for x
    x = 16,846,206,624.88/60,078.38
  6. Step 6: Final answer
    x = 280,403.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.