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Finding the Third Proportional to 47,859 and 105,366

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Solution

The third proportional to 47,859 and 105,366 is: 231,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,859 : 105,366 = 105,366 : x
  2. Step 2: Convert to fraction form
    47,859/105,366 = 105,366/x
  3. Step 3: Cross multiply
    47,859x = 105,366 × 105,366
  4. Step 4: Simplify right side
    47,859x = 11,101,993,956
  5. Step 5: Solve for x
    x = 11,101,993,956/47,859
  6. Step 6: Final answer
    x = 231,972.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.