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Finding the Third Proportional to 49,396 and 108,161

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Solution

The third proportional to 49,396 and 108,161 is: 236,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,396 : 108,161 = 108,161 : x
  2. Step 2: Convert to fraction form
    49,396/108,161 = 108,161/x
  3. Step 3: Cross multiply
    49,396x = 108,161 × 108,161
  4. Step 4: Simplify right side
    49,396x = 11,698,801,921
  5. Step 5: Solve for x
    x = 11,698,801,921/49,396
  6. Step 6: Final answer
    x = 236,837.03

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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.