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Finding the Third Proportional to 126,954 and 300,775

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Solution

The third proportional to 126,954 and 300,775 is: 712,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,954 : 300,775 = 300,775 : x
  2. Step 2: Convert to fraction form
    126,954/300,775 = 300,775/x
  3. Step 3: Cross multiply
    126,954x = 300,775 × 300,775
  4. Step 4: Simplify right side
    126,954x = 90,465,600,625
  5. Step 5: Solve for x
    x = 90,465,600,625/126,954
  6. Step 6: Final answer
    x = 712,585.67

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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.