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Finding the Third Proportional to 67,367.11 and 146,694.27

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Solution

The third proportional to 67,367.11 and 146,694.27 is: 319,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,367.11 : 146,694.27 = 146,694.27 : x
  2. Step 2: Convert to fraction form
    67,367.11/146,694.27 = 146,694.27/x
  3. Step 3: Cross multiply
    67,367.11x = 146,694.27 × 146,694.27
  4. Step 4: Simplify right side
    67,367.11x = 21,519,208,713.31
  5. Step 5: Solve for x
    x = 21,519,208,713.31/67,367.11
  6. Step 6: Final answer
    x = 319,431.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.