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Finding the Third Proportional to 48,736 and 106,286

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Solution

The third proportional to 48,736 and 106,286 is: 231,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,736 : 106,286 = 106,286 : x
  2. Step 2: Convert to fraction form
    48,736/106,286 = 106,286/x
  3. Step 3: Cross multiply
    48,736x = 106,286 × 106,286
  4. Step 4: Simplify right side
    48,736x = 11,296,713,796
  5. Step 5: Solve for x
    x = 11,296,713,796/48,736
  6. Step 6: Final answer
    x = 231,794.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.