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Finding the Third Proportional to 133,108 and 200,204

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Solution

The third proportional to 133,108 and 200,204 is: 301,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,108 : 200,204 = 200,204 : x
  2. Step 2: Convert to fraction form
    133,108/200,204 = 200,204/x
  3. Step 3: Cross multiply
    133,108x = 200,204 × 200,204
  4. Step 4: Simplify right side
    133,108x = 40,081,641,616
  5. Step 5: Solve for x
    x = 40,081,641,616/133,108
  6. Step 6: Final answer
    x = 301,121.21

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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.