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Finding the Third Proportional to 75,917 and 166,135

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Solution

The third proportional to 75,917 and 166,135 is: 363,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,917 : 166,135 = 166,135 : x
  2. Step 2: Convert to fraction form
    75,917/166,135 = 166,135/x
  3. Step 3: Cross multiply
    75,917x = 166,135 × 166,135
  4. Step 4: Simplify right side
    75,917x = 27,600,838,225
  5. Step 5: Solve for x
    x = 27,600,838,225/75,917
  6. Step 6: Final answer
    x = 363,565.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.