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Finding the Third Proportional to 65,005 and 135,105

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Solution

The third proportional to 65,005 and 135,105 is: 280,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,005 : 135,105 = 135,105 : x
  2. Step 2: Convert to fraction form
    65,005/135,105 = 135,105/x
  3. Step 3: Cross multiply
    65,005x = 135,105 × 135,105
  4. Step 4: Simplify right side
    65,005x = 18,253,361,025
  5. Step 5: Solve for x
    x = 18,253,361,025/65,005
  6. Step 6: Final answer
    x = 280,799.34

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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.