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Finding the Third Proportional to 49,824 and 107,521

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Solution

The third proportional to 49,824 and 107,521 is: 232,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,824 : 107,521 = 107,521 : x
  2. Step 2: Convert to fraction form
    49,824/107,521 = 107,521/x
  3. Step 3: Cross multiply
    49,824x = 107,521 × 107,521
  4. Step 4: Simplify right side
    49,824x = 11,560,765,441
  5. Step 5: Solve for x
    x = 11,560,765,441/49,824
  6. Step 6: Final answer
    x = 232,032.06

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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.