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Finding the Third Proportional to 60,414.75 and 131,217.19

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Solution

The third proportional to 60,414.75 and 131,217.19 is: 284,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,414.75 : 131,217.19 = 131,217.19 : x
  2. Step 2: Convert to fraction form
    60,414.75/131,217.19 = 131,217.19/x
  3. Step 3: Cross multiply
    60,414.75x = 131,217.19 × 131,217.19
  4. Step 4: Simplify right side
    60,414.75x = 17,217,950,295.41
  5. Step 5: Solve for x
    x = 17,217,950,295.41/60,414.75
  6. Step 6: Final answer
    x = 284,995.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.