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Finding the Third Proportional to 32,204 and 68,026

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Solution

The third proportional to 32,204 and 68,026 is: 143,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204 : 68,026 = 68,026 : x
  2. Step 2: Convert to fraction form
    32,204/68,026 = 68,026/x
  3. Step 3: Cross multiply
    32,204x = 68,026 × 68,026
  4. Step 4: Simplify right side
    32,204x = 4,627,536,676
  5. Step 5: Solve for x
    x = 4,627,536,676/32,204
  6. Step 6: Final answer
    x = 143,694.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.