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Finding the Third Proportional to 43,067 and 94,153

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Solution

The third proportional to 43,067 and 94,153 is: 205,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,067 : 94,153 = 94,153 : x
  2. Step 2: Convert to fraction form
    43,067/94,153 = 94,153/x
  3. Step 3: Cross multiply
    43,067x = 94,153 × 94,153
  4. Step 4: Simplify right side
    43,067x = 8,864,787,409
  5. Step 5: Solve for x
    x = 8,864,787,409/43,067
  6. Step 6: Final answer
    x = 205,837.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.