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Finding the Third Proportional to 65,193 and 135,282

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Solution

The third proportional to 65,193 and 135,282 is: 280,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193 : 135,282 = 135,282 : x
  2. Step 2: Convert to fraction form
    65,193/135,282 = 135,282/x
  3. Step 3: Cross multiply
    65,193x = 135,282 × 135,282
  4. Step 4: Simplify right side
    65,193x = 18,301,219,524
  5. Step 5: Solve for x
    x = 18,301,219,524/65,193
  6. Step 6: Final answer
    x = 280,723.69

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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.