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Finding the Third Proportional to 48,720 and 99,744

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Solution

The third proportional to 48,720 and 99,744 is: 204,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,720 : 99,744 = 99,744 : x
  2. Step 2: Convert to fraction form
    48,720/99,744 = 99,744/x
  3. Step 3: Cross multiply
    48,720x = 99,744 × 99,744
  4. Step 4: Simplify right side
    48,720x = 9,948,865,536
  5. Step 5: Solve for x
    x = 9,948,865,536/48,720
  6. Step 6: Final answer
    x = 204,204.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.