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Finding the Third Proportional to 41,651 and 91,069

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Solution

The third proportional to 41,651 and 91,069 is: 199,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,651 : 91,069 = 91,069 : x
  2. Step 2: Convert to fraction form
    41,651/91,069 = 91,069/x
  3. Step 3: Cross multiply
    41,651x = 91,069 × 91,069
  4. Step 4: Simplify right side
    41,651x = 8,293,562,761
  5. Step 5: Solve for x
    x = 8,293,562,761/41,651
  6. Step 6: Final answer
    x = 199,120.38

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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.