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Finding the Third Proportional to 33,331 and 72,199

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Solution

The third proportional to 33,331 and 72,199 is: 156,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,331 : 72,199 = 72,199 : x
  2. Step 2: Convert to fraction form
    33,331/72,199 = 72,199/x
  3. Step 3: Cross multiply
    33,331x = 72,199 × 72,199
  4. Step 4: Simplify right side
    33,331x = 5,212,695,601
  5. Step 5: Solve for x
    x = 5,212,695,601/33,331
  6. Step 6: Final answer
    x = 156,391.82

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