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Finding the Third Proportional to 48,544 and 104,744

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Solution

The third proportional to 48,544 and 104,744 is: 226,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,544 : 104,744 = 104,744 : x
  2. Step 2: Convert to fraction form
    48,544/104,744 = 104,744/x
  3. Step 3: Cross multiply
    48,544x = 104,744 × 104,744
  4. Step 4: Simplify right side
    48,544x = 10,971,305,536
  5. Step 5: Solve for x
    x = 10,971,305,536/48,544
  6. Step 6: Final answer
    x = 226,007.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.