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Finding the Third Proportional to 41,069 and 89,995

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Solution

The third proportional to 41,069 and 89,995 is: 197,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,069 : 89,995 = 89,995 : x
  2. Step 2: Convert to fraction form
    41,069/89,995 = 89,995/x
  3. Step 3: Cross multiply
    41,069x = 89,995 × 89,995
  4. Step 4: Simplify right side
    41,069x = 8,099,100,025
  5. Step 5: Solve for x
    x = 8,099,100,025/41,069
  6. Step 6: Final answer
    x = 197,207.14

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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.