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Finding the Third Proportional to 65,019 and 135,193

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Solution

The third proportional to 65,019 and 135,193 is: 281,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,019 : 135,193 = 135,193 : x
  2. Step 2: Convert to fraction form
    65,019/135,193 = 135,193/x
  3. Step 3: Cross multiply
    65,019x = 135,193 × 135,193
  4. Step 4: Simplify right side
    65,019x = 18,277,147,249
  5. Step 5: Solve for x
    x = 18,277,147,249/65,019
  6. Step 6: Final answer
    x = 281,104.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.