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Finding the Third Proportional to 125,209.13 and 187,813.69

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Solution

The third proportional to 125,209.13 and 187,813.69 is: 281,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,209.13 : 187,813.69 = 187,813.69 : x
  2. Step 2: Convert to fraction form
    125,209.13/187,813.69 = 187,813.69/x
  3. Step 3: Cross multiply
    125,209.13x = 187,813.69 × 187,813.69
  4. Step 4: Simplify right side
    125,209.13x = 35,273,981,212.35
  5. Step 5: Solve for x
    x = 35,273,981,212.35/125,209.13
  6. Step 6: Final answer
    x = 281,720.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.