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Finding the Third Proportional to 33,153.75 and 68,221.13

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Solution

The third proportional to 33,153.75 and 68,221.13 is: 140,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.75 : 68,221.13 = 68,221.13 : x
  2. Step 2: Convert to fraction form
    33,153.75/68,221.13 = 68,221.13/x
  3. Step 3: Cross multiply
    33,153.75x = 68,221.13 × 68,221.13
  4. Step 4: Simplify right side
    33,153.75x = 4,654,121,896.27
  5. Step 5: Solve for x
    x = 4,654,121,896.27/33,153.75
  6. Step 6: Final answer
    x = 140,379.95

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.