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Finding the Third Proportional to 49,719 and 76,812

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Solution

The third proportional to 49,719 and 76,812 is: 118,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,719 : 76,812 = 76,812 : x
  2. Step 2: Convert to fraction form
    49,719/76,812 = 76,812/x
  3. Step 3: Cross multiply
    49,719x = 76,812 × 76,812
  4. Step 4: Simplify right side
    49,719x = 5,900,083,344
  5. Step 5: Solve for x
    x = 5,900,083,344/49,719
  6. Step 6: Final answer
    x = 118,668.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.