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Finding the Third Proportional to 108,839 and 168,112

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Solution

The third proportional to 108,839 and 168,112 is: 259,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,839 : 168,112 = 168,112 : x
  2. Step 2: Convert to fraction form
    108,839/168,112 = 168,112/x
  3. Step 3: Cross multiply
    108,839x = 168,112 × 168,112
  4. Step 4: Simplify right side
    108,839x = 28,261,644,544
  5. Step 5: Solve for x
    x = 28,261,644,544/108,839
  6. Step 6: Final answer
    x = 259,664.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.