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Finding the Third Proportional to 124,941 and 273,183

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Solution

The third proportional to 124,941 and 273,183 is: 597,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,941 : 273,183 = 273,183 : x
  2. Step 2: Convert to fraction form
    124,941/273,183 = 273,183/x
  3. Step 3: Cross multiply
    124,941x = 273,183 × 273,183
  4. Step 4: Simplify right side
    124,941x = 74,628,951,489
  5. Step 5: Solve for x
    x = 74,628,951,489/124,941
  6. Step 6: Final answer
    x = 597,313.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.