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Finding the Third Proportional to 126,249.50 and 277,026.75

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Solution

The third proportional to 126,249.50 and 277,026.75 is: 607,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,249.50 : 277,026.75 = 277,026.75 : x
  2. Step 2: Convert to fraction form
    126,249.50/277,026.75 = 277,026.75/x
  3. Step 3: Cross multiply
    126,249.50x = 277,026.75 × 277,026.75
  4. Step 4: Simplify right side
    126,249.50x = 76,743,820,215.56
  5. Step 5: Solve for x
    x = 76,743,820,215.56/126,249.50
  6. Step 6: Final answer
    x = 607,874.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.