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Finding the Third Proportional to 43,847 and 95,071

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Solution

The third proportional to 43,847 and 95,071 is: 206,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,847 : 95,071 = 95,071 : x
  2. Step 2: Convert to fraction form
    43,847/95,071 = 95,071/x
  3. Step 3: Cross multiply
    43,847x = 95,071 × 95,071
  4. Step 4: Simplify right side
    43,847x = 9,038,495,041
  5. Step 5: Solve for x
    x = 9,038,495,041/43,847
  6. Step 6: Final answer
    x = 206,137.14

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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.