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Finding the Third Proportional to 136,876 and 204,757

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Solution

The third proportional to 136,876 and 204,757 is: 306,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,876 : 204,757 = 204,757 : x
  2. Step 2: Convert to fraction form
    136,876/204,757 = 204,757/x
  3. Step 3: Cross multiply
    136,876x = 204,757 × 204,757
  4. Step 4: Simplify right side
    136,876x = 41,925,429,049
  5. Step 5: Solve for x
    x = 41,925,429,049/136,876
  6. Step 6: Final answer
    x = 306,302.27

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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.