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Finding the Third Proportional to 120,163.50 and 185,166

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Solution

The third proportional to 120,163.50 and 185,166 is: 285,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,163.50 : 185,166 = 185,166 : x
  2. Step 2: Convert to fraction form
    120,163.50/185,166 = 185,166/x
  3. Step 3: Cross multiply
    120,163.50x = 185,166 × 185,166
  4. Step 4: Simplify right side
    120,163.50x = 34,286,447,556
  5. Step 5: Solve for x
    x = 34,286,447,556/120,163.50
  6. Step 6: Final answer
    x = 285,331.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.