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Finding the Third Proportional to 72,744 and 156,612

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Solution

The third proportional to 72,744 and 156,612 is: 337,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,744 : 156,612 = 156,612 : x
  2. Step 2: Convert to fraction form
    72,744/156,612 = 156,612/x
  3. Step 3: Cross multiply
    72,744x = 156,612 × 156,612
  4. Step 4: Simplify right side
    72,744x = 24,527,318,544
  5. Step 5: Solve for x
    x = 24,527,318,544/72,744
  6. Step 6: Final answer
    x = 337,173.08

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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.