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Finding the Third Proportional to 126,945 and 273,006

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Solution

The third proportional to 126,945 and 273,006 is: 587,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,945 : 273,006 = 273,006 : x
  2. Step 2: Convert to fraction form
    126,945/273,006 = 273,006/x
  3. Step 3: Cross multiply
    126,945x = 273,006 × 273,006
  4. Step 4: Simplify right side
    126,945x = 74,532,276,036
  5. Step 5: Solve for x
    x = 74,532,276,036/126,945
  6. Step 6: Final answer
    x = 587,122.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.