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Finding the Third Proportional to 49,546 and 107,839

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Solution

The third proportional to 49,546 and 107,839 is: 234,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,546 : 107,839 = 107,839 : x
  2. Step 2: Convert to fraction form
    49,546/107,839 = 107,839/x
  3. Step 3: Cross multiply
    49,546x = 107,839 × 107,839
  4. Step 4: Simplify right side
    49,546x = 11,629,249,921
  5. Step 5: Solve for x
    x = 11,629,249,921/49,546
  6. Step 6: Final answer
    x = 234,716.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.