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Finding the Third Proportional to 41,078 and 89,817

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Solution

The third proportional to 41,078 and 89,817 is: 196,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,078 : 89,817 = 89,817 : x
  2. Step 2: Convert to fraction form
    41,078/89,817 = 89,817/x
  3. Step 3: Cross multiply
    41,078x = 89,817 × 89,817
  4. Step 4: Simplify right side
    41,078x = 8,067,093,489
  5. Step 5: Solve for x
    x = 8,067,093,489/41,078
  6. Step 6: Final answer
    x = 196,384.77

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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.