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Finding the Third Proportional to 126,943 and 300,751

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Solution

The third proportional to 126,943 and 300,751 is: 712,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,943 : 300,751 = 300,751 : x
  2. Step 2: Convert to fraction form
    126,943/300,751 = 300,751/x
  3. Step 3: Cross multiply
    126,943x = 300,751 × 300,751
  4. Step 4: Simplify right side
    126,943x = 90,451,164,001
  5. Step 5: Solve for x
    x = 90,451,164,001/126,943
  6. Step 6: Final answer
    x = 712,533.69

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