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Finding the Third Proportional to 126,675 and 273,438

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Solution

The third proportional to 126,675 and 273,438 is: 590,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,675 : 273,438 = 273,438 : x
  2. Step 2: Convert to fraction form
    126,675/273,438 = 273,438/x
  3. Step 3: Cross multiply
    126,675x = 273,438 × 273,438
  4. Step 4: Simplify right side
    126,675x = 74,768,339,844
  5. Step 5: Solve for x
    x = 74,768,339,844/126,675
  6. Step 6: Final answer
    x = 590,237.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.