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Finding the Third Proportional to 57,520.13 and 125,499.38

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Solution

The third proportional to 57,520.13 and 125,499.38 is: 273,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,520.13 : 125,499.38 = 125,499.38 : x
  2. Step 2: Convert to fraction form
    57,520.13/125,499.38 = 125,499.38/x
  3. Step 3: Cross multiply
    57,520.13x = 125,499.38 × 125,499.38
  4. Step 4: Simplify right side
    57,520.13x = 15,750,093,125.39
  5. Step 5: Solve for x
    x = 15,750,093,125.39/57,520.13
  6. Step 6: Final answer
    x = 273,818.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.