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Finding the Third Proportional to 45,325 and 99,624

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Solution

The third proportional to 45,325 and 99,624 is: 218,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,325 : 99,624 = 99,624 : x
  2. Step 2: Convert to fraction form
    45,325/99,624 = 99,624/x
  3. Step 3: Cross multiply
    45,325x = 99,624 × 99,624
  4. Step 4: Simplify right side
    45,325x = 9,924,941,376
  5. Step 5: Solve for x
    x = 9,924,941,376/45,325
  6. Step 6: Final answer
    x = 218,972.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.