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Finding the Third Proportional to 65,452 and 135,761

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Solution

The third proportional to 65,452 and 135,761 is: 281,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,452 : 135,761 = 135,761 : x
  2. Step 2: Convert to fraction form
    65,452/135,761 = 135,761/x
  3. Step 3: Cross multiply
    65,452x = 135,761 × 135,761
  4. Step 4: Simplify right side
    65,452x = 18,431,049,121
  5. Step 5: Solve for x
    x = 18,431,049,121/65,452
  6. Step 6: Final answer
    x = 281,596.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.