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Finding the Third Proportional to 41,086 and 84,119

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Solution

The third proportional to 41,086 and 84,119 is: 172,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,086 : 84,119 = 84,119 : x
  2. Step 2: Convert to fraction form
    41,086/84,119 = 84,119/x
  3. Step 3: Cross multiply
    41,086x = 84,119 × 84,119
  4. Step 4: Simplify right side
    41,086x = 7,076,006,161
  5. Step 5: Solve for x
    x = 7,076,006,161/41,086
  6. Step 6: Final answer
    x = 172,224.27

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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.