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Finding the Third Proportional to 33,059 and 71,950

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Solution

The third proportional to 33,059 and 71,950 is: 156,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,059 : 71,950 = 71,950 : x
  2. Step 2: Convert to fraction form
    33,059/71,950 = 71,950/x
  3. Step 3: Cross multiply
    33,059x = 71,950 × 71,950
  4. Step 4: Simplify right side
    33,059x = 5,176,802,500
  5. Step 5: Solve for x
    x = 5,176,802,500/33,059
  6. Step 6: Final answer
    x = 156,592.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.