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Finding the Third Proportional to 32,086 and 66,204

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Solution

The third proportional to 32,086 and 66,204 is: 136,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086 : 66,204 = 66,204 : x
  2. Step 2: Convert to fraction form
    32,086/66,204 = 66,204/x
  3. Step 3: Cross multiply
    32,086x = 66,204 × 66,204
  4. Step 4: Simplify right side
    32,086x = 4,382,969,616
  5. Step 5: Solve for x
    x = 4,382,969,616/32,086
  6. Step 6: Final answer
    x = 136,600.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.