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Finding the Third Proportional to 126,738 and 269,037

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Solution

The third proportional to 126,738 and 269,037 is: 571,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,738 : 269,037 = 269,037 : x
  2. Step 2: Convert to fraction form
    126,738/269,037 = 269,037/x
  3. Step 3: Cross multiply
    126,738x = 269,037 × 269,037
  4. Step 4: Simplify right side
    126,738x = 72,380,907,369
  5. Step 5: Solve for x
    x = 72,380,907,369/126,738
  6. Step 6: Final answer
    x = 571,106.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.