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Finding the Third Proportional to 67,204 and 110,658

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Solution

The third proportional to 67,204 and 110,658 is: 182,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,204 : 110,658 = 110,658 : x
  2. Step 2: Convert to fraction form
    67,204/110,658 = 110,658/x
  3. Step 3: Cross multiply
    67,204x = 110,658 × 110,658
  4. Step 4: Simplify right side
    67,204x = 12,245,192,964
  5. Step 5: Solve for x
    x = 12,245,192,964/67,204
  6. Step 6: Final answer
    x = 182,209.29

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.