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Finding the Third Proportional to 100,408 and 150,624

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Solution

The third proportional to 100,408 and 150,624 is: 225,954.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408 : 150,624 = 150,624 : x
  2. Step 2: Convert to fraction form
    100,408/150,624 = 150,624/x
  3. Step 3: Cross multiply
    100,408x = 150,624 × 150,624
  4. Step 4: Simplify right side
    100,408x = 22,687,589,376
  5. Step 5: Solve for x
    x = 22,687,589,376/100,408
  6. Step 6: Final answer
    x = 225,954.00

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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.