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Finding the Third Proportional to 117,926 and 166,327

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Solution

The third proportional to 117,926 and 166,327 is: 234,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,926 : 166,327 = 166,327 : x
  2. Step 2: Convert to fraction form
    117,926/166,327 = 166,327/x
  3. Step 3: Cross multiply
    117,926x = 166,327 × 166,327
  4. Step 4: Simplify right side
    117,926x = 27,664,670,929
  5. Step 5: Solve for x
    x = 27,664,670,929/117,926
  6. Step 6: Final answer
    x = 234,593.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.