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Finding the Third Proportional to 110,779 and 167,185

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Solution

The third proportional to 110,779 and 167,185 is: 252,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,779 : 167,185 = 167,185 : x
  2. Step 2: Convert to fraction form
    110,779/167,185 = 167,185/x
  3. Step 3: Cross multiply
    110,779x = 167,185 × 167,185
  4. Step 4: Simplify right side
    110,779x = 27,950,824,225
  5. Step 5: Solve for x
    x = 27,950,824,225/110,779
  6. Step 6: Final answer
    x = 252,311.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.