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Finding the Third Proportional to 111,327 and 166,991

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Solution

The third proportional to 111,327 and 166,991 is: 250,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,327 : 166,991 = 166,991 : x
  2. Step 2: Convert to fraction form
    111,327/166,991 = 166,991/x
  3. Step 3: Cross multiply
    111,327x = 166,991 × 166,991
  4. Step 4: Simplify right side
    111,327x = 27,885,994,081
  5. Step 5: Solve for x
    x = 27,885,994,081/111,327
  6. Step 6: Final answer
    x = 250,487.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.