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Finding the Third Proportional to 62,019 and 135,098

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Solution

The third proportional to 62,019 and 135,098 is: 294,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,019 : 135,098 = 135,098 : x
  2. Step 2: Convert to fraction form
    62,019/135,098 = 135,098/x
  3. Step 3: Cross multiply
    62,019x = 135,098 × 135,098
  4. Step 4: Simplify right side
    62,019x = 18,251,469,604
  5. Step 5: Solve for x
    x = 18,251,469,604/62,019
  6. Step 6: Final answer
    x = 294,288.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.