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Finding the Third Proportional to 50,244 and 76,019

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Solution

The third proportional to 50,244 and 76,019 is: 115,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,244 : 76,019 = 76,019 : x
  2. Step 2: Convert to fraction form
    50,244/76,019 = 76,019/x
  3. Step 3: Cross multiply
    50,244x = 76,019 × 76,019
  4. Step 4: Simplify right side
    50,244x = 5,778,888,361
  5. Step 5: Solve for x
    x = 5,778,888,361/50,244
  6. Step 6: Final answer
    x = 115,016.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.