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Finding the Third Proportional to 49,959 and 103,380.75

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Solution

The third proportional to 49,959 and 103,380.75 is: 213,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,959 : 103,380.75 = 103,380.75 : x
  2. Step 2: Convert to fraction form
    49,959/103,380.75 = 103,380.75/x
  3. Step 3: Cross multiply
    49,959x = 103,380.75 × 103,380.75
  4. Step 4: Simplify right side
    49,959x = 10,687,579,470.56
  5. Step 5: Solve for x
    x = 10,687,579,470.56/49,959
  6. Step 6: Final answer
    x = 213,927.01

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.