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Finding the Third Proportional to 62,928 and 95,198

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Solution

The third proportional to 62,928 and 95,198 is: 144,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,928 : 95,198 = 95,198 : x
  2. Step 2: Convert to fraction form
    62,928/95,198 = 95,198/x
  3. Step 3: Cross multiply
    62,928x = 95,198 × 95,198
  4. Step 4: Simplify right side
    62,928x = 9,062,659,204
  5. Step 5: Solve for x
    x = 9,062,659,204/62,928
  6. Step 6: Final answer
    x = 144,016.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.