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Finding the Third Proportional to 62,375 and 135,415

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Solution

The third proportional to 62,375 and 135,415 is: 293,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,375 : 135,415 = 135,415 : x
  2. Step 2: Convert to fraction form
    62,375/135,415 = 135,415/x
  3. Step 3: Cross multiply
    62,375x = 135,415 × 135,415
  4. Step 4: Simplify right side
    62,375x = 18,337,222,225
  5. Step 5: Solve for x
    x = 18,337,222,225/62,375
  6. Step 6: Final answer
    x = 293,983.52

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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.