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Finding the Third Proportional to 50,048 and 107,824

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Solution

The third proportional to 50,048 and 107,824 is: 232,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,048 : 107,824 = 107,824 : x
  2. Step 2: Convert to fraction form
    50,048/107,824 = 107,824/x
  3. Step 3: Cross multiply
    50,048x = 107,824 × 107,824
  4. Step 4: Simplify right side
    50,048x = 11,626,014,976
  5. Step 5: Solve for x
    x = 11,626,014,976/50,048
  6. Step 6: Final answer
    x = 232,297.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.