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Finding the Third Proportional to 126,968 and 259,760

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Solution

The third proportional to 126,968 and 259,760 is: 531,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,968 : 259,760 = 259,760 : x
  2. Step 2: Convert to fraction form
    126,968/259,760 = 259,760/x
  3. Step 3: Cross multiply
    126,968x = 259,760 × 259,760
  4. Step 4: Simplify right side
    126,968x = 67,475,257,600
  5. Step 5: Solve for x
    x = 67,475,257,600/126,968
  6. Step 6: Final answer
    x = 531,435.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.