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Finding the Third Proportional to 126,678 and 273,657

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Solution

The third proportional to 126,678 and 273,657 is: 591,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,678 : 273,657 = 273,657 : x
  2. Step 2: Convert to fraction form
    126,678/273,657 = 273,657/x
  3. Step 3: Cross multiply
    126,678x = 273,657 × 273,657
  4. Step 4: Simplify right side
    126,678x = 74,888,153,649
  5. Step 5: Solve for x
    x = 74,888,153,649/126,678
  6. Step 6: Final answer
    x = 591,169.37

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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.