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Finding the Third Proportional to 36,941 and 79,138

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Solution

The third proportional to 36,941 and 79,138 is: 169,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,941 : 79,138 = 79,138 : x
  2. Step 2: Convert to fraction form
    36,941/79,138 = 79,138/x
  3. Step 3: Cross multiply
    36,941x = 79,138 × 79,138
  4. Step 4: Simplify right side
    36,941x = 6,262,823,044
  5. Step 5: Solve for x
    x = 6,262,823,044/36,941
  6. Step 6: Final answer
    x = 169,535.83

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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.