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Finding the Third Proportional to 137,667 and 193,869

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Solution

The third proportional to 137,667 and 193,869 is: 273,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,667 : 193,869 = 193,869 : x
  2. Step 2: Convert to fraction form
    137,667/193,869 = 193,869/x
  3. Step 3: Cross multiply
    137,667x = 193,869 × 193,869
  4. Step 4: Simplify right side
    137,667x = 37,585,189,161
  5. Step 5: Solve for x
    x = 37,585,189,161/137,667
  6. Step 6: Final answer
    x = 273,015.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.