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Finding the Third Proportional to 26,180 and 56,734

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Solution

The third proportional to 26,180 and 56,734 is: 122,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,180 : 56,734 = 56,734 : x
  2. Step 2: Convert to fraction form
    26,180/56,734 = 56,734/x
  3. Step 3: Cross multiply
    26,180x = 56,734 × 56,734
  4. Step 4: Simplify right side
    26,180x = 3,218,746,756
  5. Step 5: Solve for x
    x = 3,218,746,756/26,180
  6. Step 6: Final answer
    x = 122,946.78

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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.