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Finding the Third Proportional to 57,135.38 and 125,344.13

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Solution

The third proportional to 57,135.38 and 125,344.13 is: 274,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.38 : 125,344.13 = 125,344.13 : x
  2. Step 2: Convert to fraction form
    57,135.38/125,344.13 = 125,344.13/x
  3. Step 3: Cross multiply
    57,135.38x = 125,344.13 × 125,344.13
  4. Step 4: Simplify right side
    57,135.38x = 15,711,149,672.02
  5. Step 5: Solve for x
    x = 15,711,149,672.02/57,135.38
  6. Step 6: Final answer
    x = 274,981.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.