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Finding the Third Proportional to 116,991 and 171,099

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Solution

The third proportional to 116,991 and 171,099 is: 250,231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,991 : 171,099 = 171,099 : x
  2. Step 2: Convert to fraction form
    116,991/171,099 = 171,099/x
  3. Step 3: Cross multiply
    116,991x = 171,099 × 171,099
  4. Step 4: Simplify right side
    116,991x = 29,274,867,801
  5. Step 5: Solve for x
    x = 29,274,867,801/116,991
  6. Step 6: Final answer
    x = 250,231.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.