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Finding the Third Proportional to 71,727.75 and 157,932

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Solution

The third proportional to 71,727.75 and 157,932 is: 347,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,727.75 : 157,932 = 157,932 : x
  2. Step 2: Convert to fraction form
    71,727.75/157,932 = 157,932/x
  3. Step 3: Cross multiply
    71,727.75x = 157,932 × 157,932
  4. Step 4: Simplify right side
    71,727.75x = 24,942,516,624
  5. Step 5: Solve for x
    x = 24,942,516,624/71,727.75
  6. Step 6: Final answer
    x = 347,738.73

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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.