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Finding the Third Proportional to 103,500 and 166,327

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Solution

The third proportional to 103,500 and 166,327 is: 267,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,500 : 166,327 = 166,327 : x
  2. Step 2: Convert to fraction form
    103,500/166,327 = 166,327/x
  3. Step 3: Cross multiply
    103,500x = 166,327 × 166,327
  4. Step 4: Simplify right side
    103,500x = 27,664,670,929
  5. Step 5: Solve for x
    x = 27,664,670,929/103,500
  6. Step 6: Final answer
    x = 267,291.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.