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Finding the Third Proportional to 43,067 and 91,352

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Solution

The third proportional to 43,067 and 91,352 is: 193,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,067 : 91,352 = 91,352 : x
  2. Step 2: Convert to fraction form
    43,067/91,352 = 91,352/x
  3. Step 3: Cross multiply
    43,067x = 91,352 × 91,352
  4. Step 4: Simplify right side
    43,067x = 8,345,187,904
  5. Step 5: Solve for x
    x = 8,345,187,904/43,067
  6. Step 6: Final answer
    x = 193,772.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.