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Finding the Third Proportional to 67,806 and 102,204

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Solution

The third proportional to 67,806 and 102,204 is: 154,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,806 : 102,204 = 102,204 : x
  2. Step 2: Convert to fraction form
    67,806/102,204 = 102,204/x
  3. Step 3: Cross multiply
    67,806x = 102,204 × 102,204
  4. Step 4: Simplify right side
    67,806x = 10,445,657,616
  5. Step 5: Solve for x
    x = 10,445,657,616/67,806
  6. Step 6: Final answer
    x = 154,052.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.