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Finding the Third Proportional to 43,967 and 96,895

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Solution

The third proportional to 43,967 and 96,895 is: 213,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,967 : 96,895 = 96,895 : x
  2. Step 2: Convert to fraction form
    43,967/96,895 = 96,895/x
  3. Step 3: Cross multiply
    43,967x = 96,895 × 96,895
  4. Step 4: Simplify right side
    43,967x = 9,388,641,025
  5. Step 5: Solve for x
    x = 9,388,641,025/43,967
  6. Step 6: Final answer
    x = 213,538.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.