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Finding the Third Proportional to 73,242 and 111,267

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Solution

The third proportional to 73,242 and 111,267 is: 169,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,242 : 111,267 = 111,267 : x
  2. Step 2: Convert to fraction form
    73,242/111,267 = 111,267/x
  3. Step 3: Cross multiply
    73,242x = 111,267 × 111,267
  4. Step 4: Simplify right side
    73,242x = 12,380,345,289
  5. Step 5: Solve for x
    x = 12,380,345,289/73,242
  6. Step 6: Final answer
    x = 169,033.41

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.