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Finding the Third Proportional to 75,600 and 165,744

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Solution

The third proportional to 75,600 and 165,744 is: 363,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,600 : 165,744 = 165,744 : x
  2. Step 2: Convert to fraction form
    75,600/165,744 = 165,744/x
  3. Step 3: Cross multiply
    75,600x = 165,744 × 165,744
  4. Step 4: Simplify right side
    75,600x = 27,471,073,536
  5. Step 5: Solve for x
    x = 27,471,073,536/75,600
  6. Step 6: Final answer
    x = 363,373.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.