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Finding the Third Proportional to 87,771 and 171,163.50

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Solution

The third proportional to 87,771 and 171,163.50 is: 333,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,771 : 171,163.50 = 171,163.50 : x
  2. Step 2: Convert to fraction form
    87,771/171,163.50 = 171,163.50/x
  3. Step 3: Cross multiply
    87,771x = 171,163.50 × 171,163.50
  4. Step 4: Simplify right side
    87,771x = 29,296,943,732.25
  5. Step 5: Solve for x
    x = 29,296,943,732.25/87,771
  6. Step 6: Final answer
    x = 333,788.42

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.