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Finding the Third Proportional to 33,063 and 72,687

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Solution

The third proportional to 33,063 and 72,687 is: 159,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,063 : 72,687 = 72,687 : x
  2. Step 2: Convert to fraction form
    33,063/72,687 = 72,687/x
  3. Step 3: Cross multiply
    33,063x = 72,687 × 72,687
  4. Step 4: Simplify right side
    33,063x = 5,283,399,969
  5. Step 5: Solve for x
    x = 5,283,399,969/33,063
  6. Step 6: Final answer
    x = 159,797.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.