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Finding the Third Proportional to 62,415 and 135,198

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Solution

The third proportional to 62,415 and 135,198 is: 292,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,415 : 135,198 = 135,198 : x
  2. Step 2: Convert to fraction form
    62,415/135,198 = 135,198/x
  3. Step 3: Cross multiply
    62,415x = 135,198 × 135,198
  4. Step 4: Simplify right side
    62,415x = 18,278,499,204
  5. Step 5: Solve for x
    x = 18,278,499,204/62,415
  6. Step 6: Final answer
    x = 292,854.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.