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Finding the Third Proportional to 136,593 and 206,794

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Solution

The third proportional to 136,593 and 206,794 is: 313,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,593 : 206,794 = 206,794 : x
  2. Step 2: Convert to fraction form
    136,593/206,794 = 206,794/x
  3. Step 3: Cross multiply
    136,593x = 206,794 × 206,794
  4. Step 4: Simplify right side
    136,593x = 42,763,758,436
  5. Step 5: Solve for x
    x = 42,763,758,436/136,593
  6. Step 6: Final answer
    x = 313,074.30

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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.