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Finding the Third Proportional to 52,638 and 76,193

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Solution

The third proportional to 52,638 and 76,193 is: 110,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,638 : 76,193 = 76,193 : x
  2. Step 2: Convert to fraction form
    52,638/76,193 = 76,193/x
  3. Step 3: Cross multiply
    52,638x = 76,193 × 76,193
  4. Step 4: Simplify right side
    52,638x = 5,805,373,249
  5. Step 5: Solve for x
    x = 5,805,373,249/52,638
  6. Step 6: Final answer
    x = 110,288.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.