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Finding the Third Proportional to 103,637 and 155,744

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Solution

The third proportional to 103,637 and 155,744 is: 234,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,637 : 155,744 = 155,744 : x
  2. Step 2: Convert to fraction form
    103,637/155,744 = 155,744/x
  3. Step 3: Cross multiply
    103,637x = 155,744 × 155,744
  4. Step 4: Simplify right side
    103,637x = 24,256,193,536
  5. Step 5: Solve for x
    x = 24,256,193,536/103,637
  6. Step 6: Final answer
    x = 234,049.55

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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.