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Finding the Third Proportional to 43,892 and 96,110

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Solution

The third proportional to 43,892 and 96,110 is: 210,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,892 : 96,110 = 96,110 : x
  2. Step 2: Convert to fraction form
    43,892/96,110 = 96,110/x
  3. Step 3: Cross multiply
    43,892x = 96,110 × 96,110
  4. Step 4: Simplify right side
    43,892x = 9,237,132,100
  5. Step 5: Solve for x
    x = 9,237,132,100/43,892
  6. Step 6: Final answer
    x = 210,451.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.