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Finding the Third Proportional to 85,171.50 and 179,163

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Solution

The third proportional to 85,171.50 and 179,163 is: 376,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,171.50 : 179,163 = 179,163 : x
  2. Step 2: Convert to fraction form
    85,171.50/179,163 = 179,163/x
  3. Step 3: Cross multiply
    85,171.50x = 179,163 × 179,163
  4. Step 4: Simplify right side
    85,171.50x = 32,099,380,569
  5. Step 5: Solve for x
    x = 32,099,380,569/85,171.50
  6. Step 6: Final answer
    x = 376,879.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.