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Finding the Third Proportional to 108,686 and 167,079

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Solution

The third proportional to 108,686 and 167,079 is: 256,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,686 : 167,079 = 167,079 : x
  2. Step 2: Convert to fraction form
    108,686/167,079 = 167,079/x
  3. Step 3: Cross multiply
    108,686x = 167,079 × 167,079
  4. Step 4: Simplify right side
    108,686x = 27,915,392,241
  5. Step 5: Solve for x
    x = 27,915,392,241/108,686
  6. Step 6: Final answer
    x = 256,844.42

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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.