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Finding the Third Proportional to 33,239 and 71,759

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Solution

The third proportional to 33,239 and 71,759 is: 154,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,239 : 71,759 = 71,759 : x
  2. Step 2: Convert to fraction form
    33,239/71,759 = 71,759/x
  3. Step 3: Cross multiply
    33,239x = 71,759 × 71,759
  4. Step 4: Simplify right side
    33,239x = 5,149,354,081
  5. Step 5: Solve for x
    x = 5,149,354,081/33,239
  6. Step 6: Final answer
    x = 154,919.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.