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Finding the Third Proportional to 103,659 and 191,744

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Solution

The third proportional to 103,659 and 191,744 is: 354,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659 : 191,744 = 191,744 : x
  2. Step 2: Convert to fraction form
    103,659/191,744 = 191,744/x
  3. Step 3: Cross multiply
    103,659x = 191,744 × 191,744
  4. Step 4: Simplify right side
    103,659x = 36,765,761,536
  5. Step 5: Solve for x
    x = 36,765,761,536/103,659
  6. Step 6: Final answer
    x = 354,679.88

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.