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Finding the Third Proportional to 125,473.50 and 267,957

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Solution

The third proportional to 125,473.50 and 267,957 is: 572,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,473.50 : 267,957 = 267,957 : x
  2. Step 2: Convert to fraction form
    125,473.50/267,957 = 267,957/x
  3. Step 3: Cross multiply
    125,473.50x = 267,957 × 267,957
  4. Step 4: Simplify right side
    125,473.50x = 71,800,953,849
  5. Step 5: Solve for x
    x = 71,800,953,849/125,473.50
  6. Step 6: Final answer
    x = 572,239.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.