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Finding the Third Proportional to 73,847 and 156,921

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Solution

The third proportional to 73,847 and 156,921 is: 333,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,847 : 156,921 = 156,921 : x
  2. Step 2: Convert to fraction form
    73,847/156,921 = 156,921/x
  3. Step 3: Cross multiply
    73,847x = 156,921 × 156,921
  4. Step 4: Simplify right side
    73,847x = 24,624,200,241
  5. Step 5: Solve for x
    x = 24,624,200,241/73,847
  6. Step 6: Final answer
    x = 333,448.89

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.