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Finding the Third Proportional to 23,165 and 54,126

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Solution

The third proportional to 23,165 and 54,126 is: 126,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165 : 54,126 = 54,126 : x
  2. Step 2: Convert to fraction form
    23,165/54,126 = 54,126/x
  3. Step 3: Cross multiply
    23,165x = 54,126 × 54,126
  4. Step 4: Simplify right side
    23,165x = 2,929,623,876
  5. Step 5: Solve for x
    x = 2,929,623,876/23,165
  6. Step 6: Final answer
    x = 126,467.68

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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.