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Finding the Third Proportional to 106,978 and 165,079

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Solution

The third proportional to 106,978 and 165,079 is: 254,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,978 : 165,079 = 165,079 : x
  2. Step 2: Convert to fraction form
    106,978/165,079 = 165,079/x
  3. Step 3: Cross multiply
    106,978x = 165,079 × 165,079
  4. Step 4: Simplify right side
    106,978x = 27,251,076,241
  5. Step 5: Solve for x
    x = 27,251,076,241/106,978
  6. Step 6: Final answer
    x = 254,735.33

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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.