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Finding the Third Proportional to 80,027.50 and 171,916

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Solution

The third proportional to 80,027.50 and 171,916 is: 369,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,027.50 : 171,916 = 171,916 : x
  2. Step 2: Convert to fraction form
    80,027.50/171,916 = 171,916/x
  3. Step 3: Cross multiply
    80,027.50x = 171,916 × 171,916
  4. Step 4: Simplify right side
    80,027.50x = 29,555,111,056
  5. Step 5: Solve for x
    x = 29,555,111,056/80,027.50
  6. Step 6: Final answer
    x = 369,311.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.