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Finding the Third Proportional to 136,058 and 204,227

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Solution

The third proportional to 136,058 and 204,227 is: 306,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,058 : 204,227 = 204,227 : x
  2. Step 2: Convert to fraction form
    136,058/204,227 = 204,227/x
  3. Step 3: Cross multiply
    136,058x = 204,227 × 204,227
  4. Step 4: Simplify right side
    136,058x = 41,708,667,529
  5. Step 5: Solve for x
    x = 41,708,667,529/136,058
  6. Step 6: Final answer
    x = 306,550.64

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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.