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Finding the Third Proportional to 23,193 and 54,189

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Solution

The third proportional to 23,193 and 54,189 is: 126,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193 : 54,189 = 54,189 : x
  2. Step 2: Convert to fraction form
    23,193/54,189 = 54,189/x
  3. Step 3: Cross multiply
    23,193x = 54,189 × 54,189
  4. Step 4: Simplify right side
    23,193x = 2,936,447,721
  5. Step 5: Solve for x
    x = 2,936,447,721/23,193
  6. Step 6: Final answer
    x = 126,609.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.