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Finding the Third Proportional to 126,180 and 276,912

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Solution

The third proportional to 126,180 and 276,912 is: 607,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,180 : 276,912 = 276,912 : x
  2. Step 2: Convert to fraction form
    126,180/276,912 = 276,912/x
  3. Step 3: Cross multiply
    126,180x = 276,912 × 276,912
  4. Step 4: Simplify right side
    126,180x = 76,680,255,744
  5. Step 5: Solve for x
    x = 76,680,255,744/126,180
  6. Step 6: Final answer
    x = 607,705.31

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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.