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Finding the Third Proportional to 41,617 and 91,019

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Solution

The third proportional to 41,617 and 91,019 is: 199,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,617 : 91,019 = 91,019 : x
  2. Step 2: Convert to fraction form
    41,617/91,019 = 91,019/x
  3. Step 3: Cross multiply
    41,617x = 91,019 × 91,019
  4. Step 4: Simplify right side
    41,617x = 8,284,458,361
  5. Step 5: Solve for x
    x = 8,284,458,361/41,617
  6. Step 6: Final answer
    x = 199,064.29

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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.