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Finding the Third Proportional to 36,131 and 77,244

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Solution

The third proportional to 36,131 and 77,244 is: 165,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,131 : 77,244 = 77,244 : x
  2. Step 2: Convert to fraction form
    36,131/77,244 = 77,244/x
  3. Step 3: Cross multiply
    36,131x = 77,244 × 77,244
  4. Step 4: Simplify right side
    36,131x = 5,966,635,536
  5. Step 5: Solve for x
    x = 5,966,635,536/36,131
  6. Step 6: Final answer
    x = 165,138.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.