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Finding the Third Proportional to 111,431 and 167,679

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Solution

The third proportional to 111,431 and 167,679 is: 252,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,431 : 167,679 = 167,679 : x
  2. Step 2: Convert to fraction form
    111,431/167,679 = 167,679/x
  3. Step 3: Cross multiply
    111,431x = 167,679 × 167,679
  4. Step 4: Simplify right side
    111,431x = 28,116,247,041
  5. Step 5: Solve for x
    x = 28,116,247,041/111,431
  6. Step 6: Final answer
    x = 252,319.79

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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.