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Finding the Third Proportional to 71,474 and 152,193

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Solution

The third proportional to 71,474 and 152,193 is: 324,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,474 : 152,193 = 152,193 : x
  2. Step 2: Convert to fraction form
    71,474/152,193 = 152,193/x
  3. Step 3: Cross multiply
    71,474x = 152,193 × 152,193
  4. Step 4: Simplify right side
    71,474x = 23,162,709,249
  5. Step 5: Solve for x
    x = 23,162,709,249/71,474
  6. Step 6: Final answer
    x = 324,071.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.