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Finding the Third Proportional to 49,277 and 105,934

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Solution

The third proportional to 49,277 and 105,934 is: 227,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,277 : 105,934 = 105,934 : x
  2. Step 2: Convert to fraction form
    49,277/105,934 = 105,934/x
  3. Step 3: Cross multiply
    49,277x = 105,934 × 105,934
  4. Step 4: Simplify right side
    49,277x = 11,222,012,356
  5. Step 5: Solve for x
    x = 11,222,012,356/49,277
  6. Step 6: Final answer
    x = 227,733.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.