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Finding the Third Proportional to 36,414 and 76,122

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Solution

The third proportional to 36,414 and 76,122 is: 159,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414 : 76,122 = 76,122 : x
  2. Step 2: Convert to fraction form
    36,414/76,122 = 76,122/x
  3. Step 3: Cross multiply
    36,414x = 76,122 × 76,122
  4. Step 4: Simplify right side
    36,414x = 5,794,558,884
  5. Step 5: Solve for x
    x = 5,794,558,884/36,414
  6. Step 6: Final answer
    x = 159,129.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.