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Finding the Third Proportional to 43,067 and 92,361

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Solution

The third proportional to 43,067 and 92,361 is: 198,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,067 : 92,361 = 92,361 : x
  2. Step 2: Convert to fraction form
    43,067/92,361 = 92,361/x
  3. Step 3: Cross multiply
    43,067x = 92,361 × 92,361
  4. Step 4: Simplify right side
    43,067x = 8,530,554,321
  5. Step 5: Solve for x
    x = 8,530,554,321/43,067
  6. Step 6: Final answer
    x = 198,076.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.