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Finding the Third Proportional to 106,845 and 166,099

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Solution

The third proportional to 106,845 and 166,099 is: 258,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,845 : 166,099 = 166,099 : x
  2. Step 2: Convert to fraction form
    106,845/166,099 = 166,099/x
  3. Step 3: Cross multiply
    106,845x = 166,099 × 166,099
  4. Step 4: Simplify right side
    106,845x = 27,588,877,801
  5. Step 5: Solve for x
    x = 27,588,877,801/106,845
  6. Step 6: Final answer
    x = 258,214.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.