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Finding the Third Proportional to 111,623.25 and 167,682.75

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Solution

The third proportional to 111,623.25 and 167,682.75 is: 251,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,623.25 : 167,682.75 = 167,682.75 : x
  2. Step 2: Convert to fraction form
    111,623.25/167,682.75 = 167,682.75/x
  3. Step 3: Cross multiply
    111,623.25x = 167,682.75 × 167,682.75
  4. Step 4: Simplify right side
    111,623.25x = 28,117,504,647.56
  5. Step 5: Solve for x
    x = 28,117,504,647.56/111,623.25
  6. Step 6: Final answer
    x = 251,896.49

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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.