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Finding the Third Proportional to 41,082 and 84,106

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Solution

The third proportional to 41,082 and 84,106 is: 172,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,082 : 84,106 = 84,106 : x
  2. Step 2: Convert to fraction form
    41,082/84,106 = 84,106/x
  3. Step 3: Cross multiply
    41,082x = 84,106 × 84,106
  4. Step 4: Simplify right side
    41,082x = 7,073,819,236
  5. Step 5: Solve for x
    x = 7,073,819,236/41,082
  6. Step 6: Final answer
    x = 172,187.80

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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.