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Finding the Third Proportional to 43,821 and 95,094

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Solution

The third proportional to 43,821 and 95,094 is: 206,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,821 : 95,094 = 95,094 : x
  2. Step 2: Convert to fraction form
    43,821/95,094 = 95,094/x
  3. Step 3: Cross multiply
    43,821x = 95,094 × 95,094
  4. Step 4: Simplify right side
    43,821x = 9,042,868,836
  5. Step 5: Solve for x
    x = 9,042,868,836/43,821
  6. Step 6: Final answer
    x = 206,359.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.