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Finding the Third Proportional to 33,199 and 71,932

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Solution

The third proportional to 33,199 and 71,932 is: 155,854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199 : 71,932 = 71,932 : x
  2. Step 2: Convert to fraction form
    33,199/71,932 = 71,932/x
  3. Step 3: Cross multiply
    33,199x = 71,932 × 71,932
  4. Step 4: Simplify right side
    33,199x = 5,174,212,624
  5. Step 5: Solve for x
    x = 5,174,212,624/33,199
  6. Step 6: Final answer
    x = 155,854.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.