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Finding the Third Proportional to 41,078 and 84,102

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Solution

The third proportional to 41,078 and 84,102 is: 172,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,078 : 84,102 = 84,102 : x
  2. Step 2: Convert to fraction form
    41,078/84,102 = 84,102/x
  3. Step 3: Cross multiply
    41,078x = 84,102 × 84,102
  4. Step 4: Simplify right side
    41,078x = 7,073,146,404
  5. Step 5: Solve for x
    x = 7,073,146,404/41,078
  6. Step 6: Final answer
    x = 172,188.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.