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Finding the Third Proportional to 117,924 and 166,325

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Solution

The third proportional to 117,924 and 166,325 is: 234,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,924 : 166,325 = 166,325 : x
  2. Step 2: Convert to fraction form
    117,924/166,325 = 166,325/x
  3. Step 3: Cross multiply
    117,924x = 166,325 × 166,325
  4. Step 4: Simplify right side
    117,924x = 27,664,005,625
  5. Step 5: Solve for x
    x = 27,664,005,625/117,924
  6. Step 6: Final answer
    x = 234,591.82

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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.