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Finding the Third Proportional to 49,524 and 73,193

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Solution

The third proportional to 49,524 and 73,193 is: 108,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,524 : 73,193 = 73,193 : x
  2. Step 2: Convert to fraction form
    49,524/73,193 = 73,193/x
  3. Step 3: Cross multiply
    49,524x = 73,193 × 73,193
  4. Step 4: Simplify right side
    49,524x = 5,357,215,249
  5. Step 5: Solve for x
    x = 5,357,215,249/49,524
  6. Step 6: Final answer
    x = 108,174.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.