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Finding the Third Proportional to 43,427 and 95,167

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Solution

The third proportional to 43,427 and 95,167 is: 208,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,427 : 95,167 = 95,167 : x
  2. Step 2: Convert to fraction form
    43,427/95,167 = 95,167/x
  3. Step 3: Cross multiply
    43,427x = 95,167 × 95,167
  4. Step 4: Simplify right side
    43,427x = 9,056,757,889
  5. Step 5: Solve for x
    x = 9,056,757,889/43,427
  6. Step 6: Final answer
    x = 208,551.31

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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.