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Finding the Third Proportional to 125,244 and 187,866

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Solution

The third proportional to 125,244 and 187,866 is: 281,799

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,244 : 187,866 = 187,866 : x
  2. Step 2: Convert to fraction form
    125,244/187,866 = 187,866/x
  3. Step 3: Cross multiply
    125,244x = 187,866 × 187,866
  4. Step 4: Simplify right side
    125,244x = 35,293,633,956
  5. Step 5: Solve for x
    x = 35,293,633,956/125,244
  6. Step 6: Final answer
    x = 281,799

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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.