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Finding the Third Proportional to 126,045 and 269,037

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Solution

The third proportional to 126,045 and 269,037 is: 574,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,045 : 269,037 = 269,037 : x
  2. Step 2: Convert to fraction form
    126,045/269,037 = 269,037/x
  3. Step 3: Cross multiply
    126,045x = 269,037 × 269,037
  4. Step 4: Simplify right side
    126,045x = 72,380,907,369
  5. Step 5: Solve for x
    x = 72,380,907,369/126,045
  6. Step 6: Final answer
    x = 574,246.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.