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Finding the Third Proportional to 33,978 and 73,182

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Solution

The third proportional to 33,978 and 73,182 is: 157,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978 : 73,182 = 73,182 : x
  2. Step 2: Convert to fraction form
    33,978/73,182 = 73,182/x
  3. Step 3: Cross multiply
    33,978x = 73,182 × 73,182
  4. Step 4: Simplify right side
    33,978x = 5,355,605,124
  5. Step 5: Solve for x
    x = 5,355,605,124/33,978
  6. Step 6: Final answer
    x = 157,619.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.