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Finding the Third Proportional to 126,079 and 273,170

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Solution

The third proportional to 126,079 and 273,170 is: 591,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,079 : 273,170 = 273,170 : x
  2. Step 2: Convert to fraction form
    126,079/273,170 = 273,170/x
  3. Step 3: Cross multiply
    126,079x = 273,170 × 273,170
  4. Step 4: Simplify right side
    126,079x = 74,621,848,900
  5. Step 5: Solve for x
    x = 74,621,848,900/126,079
  6. Step 6: Final answer
    x = 591,865.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.