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Finding the Third Proportional to 111,668 and 167,738

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Solution

The third proportional to 111,668 and 167,738 is: 251,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,668 : 167,738 = 167,738 : x
  2. Step 2: Convert to fraction form
    111,668/167,738 = 167,738/x
  3. Step 3: Cross multiply
    111,668x = 167,738 × 167,738
  4. Step 4: Simplify right side
    111,668x = 28,136,036,644
  5. Step 5: Solve for x
    x = 28,136,036,644/111,668
  6. Step 6: Final answer
    x = 251,961.50

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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.