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Finding the Third Proportional to 49,474 and 116,668.75

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Solution

The third proportional to 49,474 and 116,668.75 is: 275,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,474 : 116,668.75 = 116,668.75 : x
  2. Step 2: Convert to fraction form
    49,474/116,668.75 = 116,668.75/x
  3. Step 3: Cross multiply
    49,474x = 116,668.75 × 116,668.75
  4. Step 4: Simplify right side
    49,474x = 13,611,597,226.56
  5. Step 5: Solve for x
    x = 13,611,597,226.56/49,474
  6. Step 6: Final answer
    x = 275,126.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.