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Finding the Third Proportional to 75,469 and 112,193

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Solution

The third proportional to 75,469 and 112,193 is: 166,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,469 : 112,193 = 112,193 : x
  2. Step 2: Convert to fraction form
    75,469/112,193 = 112,193/x
  3. Step 3: Cross multiply
    75,469x = 112,193 × 112,193
  4. Step 4: Simplify right side
    75,469x = 12,587,269,249
  5. Step 5: Solve for x
    x = 12,587,269,249/75,469
  6. Step 6: Final answer
    x = 166,787.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.