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Finding the Third Proportional to 36,746 and 79,756

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Solution

The third proportional to 36,746 and 79,756 is: 173,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,746 : 79,756 = 79,756 : x
  2. Step 2: Convert to fraction form
    36,746/79,756 = 79,756/x
  3. Step 3: Cross multiply
    36,746x = 79,756 × 79,756
  4. Step 4: Simplify right side
    36,746x = 6,361,019,536
  5. Step 5: Solve for x
    x = 6,361,019,536/36,746
  6. Step 6: Final answer
    x = 173,107.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.