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Finding the Third Proportional to 49,801 and 107,899

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Solution

The third proportional to 49,801 and 107,899 is: 233,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,801 : 107,899 = 107,899 : x
  2. Step 2: Convert to fraction form
    49,801/107,899 = 107,899/x
  3. Step 3: Cross multiply
    49,801x = 107,899 × 107,899
  4. Step 4: Simplify right side
    49,801x = 11,642,194,201
  5. Step 5: Solve for x
    x = 11,642,194,201/49,801
  6. Step 6: Final answer
    x = 233,774.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.