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Finding the Third Proportional to 60,385.13 and 131,143.13

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Solution

The third proportional to 60,385.13 and 131,143.13 is: 284,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,385.13 : 131,143.13 = 131,143.13 : x
  2. Step 2: Convert to fraction form
    60,385.13/131,143.13 = 131,143.13/x
  3. Step 3: Cross multiply
    60,385.13x = 131,143.13 × 131,143.13
  4. Step 4: Simplify right side
    60,385.13x = 17,198,519,234.77
  5. Step 5: Solve for x
    x = 17,198,519,234.77/60,385.13
  6. Step 6: Final answer
    x = 284,813.84

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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.