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Finding the Third Proportional to 33,268.50 and 72,132.75

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Solution

The third proportional to 33,268.50 and 72,132.75 is: 156,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,268.50 : 72,132.75 = 72,132.75 : x
  2. Step 2: Convert to fraction form
    33,268.50/72,132.75 = 72,132.75/x
  3. Step 3: Cross multiply
    33,268.50x = 72,132.75 × 72,132.75
  4. Step 4: Simplify right side
    33,268.50x = 5,203,133,622.56
  5. Step 5: Solve for x
    x = 5,203,133,622.56/33,268.50
  6. Step 6: Final answer
    x = 156,398.20

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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.