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Finding the Third Proportional to 51,745.50 and 111,267

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Solution

The third proportional to 51,745.50 and 111,267 is: 239,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,745.50 : 111,267 = 111,267 : x
  2. Step 2: Convert to fraction form
    51,745.50/111,267 = 111,267/x
  3. Step 3: Cross multiply
    51,745.50x = 111,267 × 111,267
  4. Step 4: Simplify right side
    51,745.50x = 12,380,345,289
  5. Step 5: Solve for x
    x = 12,380,345,289/51,745.50
  6. Step 6: Final answer
    x = 239,254.53

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