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Finding the Third Proportional to 72,367 and 113,183

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Solution

The third proportional to 72,367 and 113,183 is: 177,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,367 : 113,183 = 113,183 : x
  2. Step 2: Convert to fraction form
    72,367/113,183 = 113,183/x
  3. Step 3: Cross multiply
    72,367x = 113,183 × 113,183
  4. Step 4: Simplify right side
    72,367x = 12,810,391,489
  5. Step 5: Solve for x
    x = 12,810,391,489/72,367
  6. Step 6: Final answer
    x = 177,019.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.