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Finding the Third Proportional to 54,099 and 117,327

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Solution

The third proportional to 54,099 and 117,327 is: 254,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,099 : 117,327 = 117,327 : x
  2. Step 2: Convert to fraction form
    54,099/117,327 = 117,327/x
  3. Step 3: Cross multiply
    54,099x = 117,327 × 117,327
  4. Step 4: Simplify right side
    54,099x = 13,765,624,929
  5. Step 5: Solve for x
    x = 13,765,624,929/54,099
  6. Step 6: Final answer
    x = 254,452.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.