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Finding the Third Proportional to 64,517 and 131,626

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Solution

The third proportional to 64,517 and 131,626 is: 268,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,517 : 131,626 = 131,626 : x
  2. Step 2: Convert to fraction form
    64,517/131,626 = 131,626/x
  3. Step 3: Cross multiply
    64,517x = 131,626 × 131,626
  4. Step 4: Simplify right side
    64,517x = 17,325,403,876
  5. Step 5: Solve for x
    x = 17,325,403,876/64,517
  6. Step 6: Final answer
    x = 268,540.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.