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Finding the Third Proportional to 54,311 and 81,814

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Solution

The third proportional to 54,311 and 81,814 is: 123,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,311 : 81,814 = 81,814 : x
  2. Step 2: Convert to fraction form
    54,311/81,814 = 81,814/x
  3. Step 3: Cross multiply
    54,311x = 81,814 × 81,814
  4. Step 4: Simplify right side
    54,311x = 6,693,530,596
  5. Step 5: Solve for x
    x = 6,693,530,596/54,311
  6. Step 6: Final answer
    x = 123,244.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.