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Finding the Third Proportional to 41,178.38 and 84,300.75

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Solution

The third proportional to 41,178.38 and 84,300.75 is: 172,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,178.38 : 84,300.75 = 84,300.75 : x
  2. Step 2: Convert to fraction form
    41,178.38/84,300.75 = 84,300.75/x
  3. Step 3: Cross multiply
    41,178.38x = 84,300.75 × 84,300.75
  4. Step 4: Simplify right side
    41,178.38x = 7,106,616,450.56
  5. Step 5: Solve for x
    x = 7,106,616,450.56/41,178.38
  6. Step 6: Final answer
    x = 172,581.27

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