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Finding the Third Proportional to 126,122 and 270,832

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Solution

The third proportional to 126,122 and 270,832 is: 581,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,122 : 270,832 = 270,832 : x
  2. Step 2: Convert to fraction form
    126,122/270,832 = 270,832/x
  3. Step 3: Cross multiply
    126,122x = 270,832 × 270,832
  4. Step 4: Simplify right side
    126,122x = 73,349,972,224
  5. Step 5: Solve for x
    x = 73,349,972,224/126,122
  6. Step 6: Final answer
    x = 581,579.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.