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Finding the Third Proportional to 125,942.34 and 272,175.19

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Solution

The third proportional to 125,942.34 and 272,175.19 is: 588,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,942.34 : 272,175.19 = 272,175.19 : x
  2. Step 2: Convert to fraction form
    125,942.34/272,175.19 = 272,175.19/x
  3. Step 3: Cross multiply
    125,942.34x = 272,175.19 × 272,175.19
  4. Step 4: Simplify right side
    125,942.34x = 74,079,332,690.66
  5. Step 5: Solve for x
    x = 74,079,332,690.66/125,942.34
  6. Step 6: Final answer
    x = 588,200.37

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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.