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Finding the Third Proportional to 90,736 and 136,204

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Solution

The third proportional to 90,736 and 136,204 is: 204,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,736 : 136,204 = 136,204 : x
  2. Step 2: Convert to fraction form
    90,736/136,204 = 136,204/x
  3. Step 3: Cross multiply
    90,736x = 136,204 × 136,204
  4. Step 4: Simplify right side
    90,736x = 18,551,529,616
  5. Step 5: Solve for x
    x = 18,551,529,616/90,736
  6. Step 6: Final answer
    x = 204,456.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.