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Finding the Third Proportional to 125,105.50 and 269,651

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Solution

The third proportional to 125,105.50 and 269,651 is: 581,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,105.50 : 269,651 = 269,651 : x
  2. Step 2: Convert to fraction form
    125,105.50/269,651 = 269,651/x
  3. Step 3: Cross multiply
    125,105.50x = 269,651 × 269,651
  4. Step 4: Simplify right side
    125,105.50x = 72,711,661,801
  5. Step 5: Solve for x
    x = 72,711,661,801/125,105.50
  6. Step 6: Final answer
    x = 581,202.76

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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.