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Finding the Third Proportional to 51,828 and 106,927

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Solution

The third proportional to 51,828 and 106,927 is: 220,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,828 : 106,927 = 106,927 : x
  2. Step 2: Convert to fraction form
    51,828/106,927 = 106,927/x
  3. Step 3: Cross multiply
    51,828x = 106,927 × 106,927
  4. Step 4: Simplify right side
    51,828x = 11,433,383,329
  5. Step 5: Solve for x
    x = 11,433,383,329/51,828
  6. Step 6: Final answer
    x = 220,602.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.