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Finding the Third Proportional to 54,028 and 116,325

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Solution

The third proportional to 54,028 and 116,325 is: 250,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,028 : 116,325 = 116,325 : x
  2. Step 2: Convert to fraction form
    54,028/116,325 = 116,325/x
  3. Step 3: Cross multiply
    54,028x = 116,325 × 116,325
  4. Step 4: Simplify right side
    54,028x = 13,531,505,625
  5. Step 5: Solve for x
    x = 13,531,505,625/54,028
  6. Step 6: Final answer
    x = 250,453.57

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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.