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Finding the Third Proportional to 43,469 and 92,679

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Solution

The third proportional to 43,469 and 92,679 is: 197,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,469 : 92,679 = 92,679 : x
  2. Step 2: Convert to fraction form
    43,469/92,679 = 92,679/x
  3. Step 3: Cross multiply
    43,469x = 92,679 × 92,679
  4. Step 4: Simplify right side
    43,469x = 8,589,397,041
  5. Step 5: Solve for x
    x = 8,589,397,041/43,469
  6. Step 6: Final answer
    x = 197,598.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.