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Finding the Third Proportional to 96,110 and 149,198

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Solution

The third proportional to 96,110 and 149,198 is: 231,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,110 : 149,198 = 149,198 : x
  2. Step 2: Convert to fraction form
    96,110/149,198 = 149,198/x
  3. Step 3: Cross multiply
    96,110x = 149,198 × 149,198
  4. Step 4: Simplify right side
    96,110x = 22,260,043,204
  5. Step 5: Solve for x
    x = 22,260,043,204/96,110
  6. Step 6: Final answer
    x = 231,610.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.