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Finding the Third Proportional to 41,084 and 84,115

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Solution

The third proportional to 41,084 and 84,115 is: 172,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,084 : 84,115 = 84,115 : x
  2. Step 2: Convert to fraction form
    41,084/84,115 = 84,115/x
  3. Step 3: Cross multiply
    41,084x = 84,115 × 84,115
  4. Step 4: Simplify right side
    41,084x = 7,075,333,225
  5. Step 5: Solve for x
    x = 7,075,333,225/41,084
  6. Step 6: Final answer
    x = 172,216.27

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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.