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Finding the Third Proportional to 126,951 and 300,771

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Solution

The third proportional to 126,951 and 300,771 is: 712,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,951 : 300,771 = 300,771 : x
  2. Step 2: Convert to fraction form
    126,951/300,771 = 300,771/x
  3. Step 3: Cross multiply
    126,951x = 300,771 × 300,771
  4. Step 4: Simplify right side
    126,951x = 90,463,194,441
  5. Step 5: Solve for x
    x = 90,463,194,441/126,951
  6. Step 6: Final answer
    x = 712,583.55

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.