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Finding the Third Proportional to 111,341 and 167,005

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Solution

The third proportional to 111,341 and 167,005 is: 250,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,341 : 167,005 = 167,005 : x
  2. Step 2: Convert to fraction form
    111,341/167,005 = 167,005/x
  3. Step 3: Cross multiply
    111,341x = 167,005 × 167,005
  4. Step 4: Simplify right side
    111,341x = 27,890,670,025
  5. Step 5: Solve for x
    x = 27,890,670,025/111,341
  6. Step 6: Final answer
    x = 250,497.75

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