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Finding the Third Proportional to 49,191 and 107,838

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Solution

The third proportional to 49,191 and 107,838 is: 236,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,191 : 107,838 = 107,838 : x
  2. Step 2: Convert to fraction form
    49,191/107,838 = 107,838/x
  3. Step 3: Cross multiply
    49,191x = 107,838 × 107,838
  4. Step 4: Simplify right side
    49,191x = 11,629,034,244
  5. Step 5: Solve for x
    x = 11,629,034,244/49,191
  6. Step 6: Final answer
    x = 236,405.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.