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Finding the Third Proportional to 60,277 and 131,266

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Solution

The third proportional to 60,277 and 131,266 is: 285,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,277 : 131,266 = 131,266 : x
  2. Step 2: Convert to fraction form
    60,277/131,266 = 131,266/x
  3. Step 3: Cross multiply
    60,277x = 131,266 × 131,266
  4. Step 4: Simplify right side
    60,277x = 17,230,762,756
  5. Step 5: Solve for x
    x = 17,230,762,756/60,277
  6. Step 6: Final answer
    x = 285,859.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.