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Finding the Third Proportional to 51,084 and 107,676

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Solution

The third proportional to 51,084 and 107,676 is: 226,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,084 : 107,676 = 107,676 : x
  2. Step 2: Convert to fraction form
    51,084/107,676 = 107,676/x
  3. Step 3: Cross multiply
    51,084x = 107,676 × 107,676
  4. Step 4: Simplify right side
    51,084x = 11,594,120,976
  5. Step 5: Solve for x
    x = 11,594,120,976/51,084
  6. Step 6: Final answer
    x = 226,961.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.