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Finding the Third Proportional to 125,206 and 187,771

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Solution

The third proportional to 125,206 and 187,771 is: 281,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,206 : 187,771 = 187,771 : x
  2. Step 2: Convert to fraction form
    125,206/187,771 = 187,771/x
  3. Step 3: Cross multiply
    125,206x = 187,771 × 187,771
  4. Step 4: Simplify right side
    125,206x = 35,257,948,441
  5. Step 5: Solve for x
    x = 35,257,948,441/125,206
  6. Step 6: Final answer
    x = 281,599.51

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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.