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Finding the Third Proportional to 33,243.90 and 72,138.96

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Solution

The third proportional to 33,243.90 and 72,138.96 is: 156,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243.90 : 72,138.96 = 72,138.96 : x
  2. Step 2: Convert to fraction form
    33,243.90/72,138.96 = 72,138.96/x
  3. Step 3: Cross multiply
    33,243.90x = 72,138.96 × 72,138.96
  4. Step 4: Simplify right side
    33,243.90x = 5,204,030,107.83
  5. Step 5: Solve for x
    x = 5,204,030,107.83/33,243.90
  6. Step 6: Final answer
    x = 156,540.93

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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.