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Finding the Third Proportional to 125,931.38 and 272,163.38

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Solution

The third proportional to 125,931.38 and 272,163.38 is: 588,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,931.38 : 272,163.38 = 272,163.38 : x
  2. Step 2: Convert to fraction form
    125,931.38/272,163.38 = 272,163.38/x
  3. Step 3: Cross multiply
    125,931.38x = 272,163.38 × 272,163.38
  4. Step 4: Simplify right side
    125,931.38x = 74,072,902,691.39
  5. Step 5: Solve for x
    x = 74,072,902,691.39/125,931.38
  6. Step 6: Final answer
    x = 588,200.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.