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Finding the Third Proportional to 125,425.13 and 274,650.75

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Solution

The third proportional to 125,425.13 and 274,650.75 is: 601,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,425.13 : 274,650.75 = 274,650.75 : x
  2. Step 2: Convert to fraction form
    125,425.13/274,650.75 = 274,650.75/x
  3. Step 3: Cross multiply
    125,425.13x = 274,650.75 × 274,650.75
  4. Step 4: Simplify right side
    125,425.13x = 75,433,034,475.56
  5. Step 5: Solve for x
    x = 75,433,034,475.56/125,425.13
  6. Step 6: Final answer
    x = 601,418.85

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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.