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Finding the Third Proportional to 50,249.74 and 76,974.05

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Solution

The third proportional to 50,249.74 and 76,974.05 is: 117,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,249.74 : 76,974.05 = 76,974.05 : x
  2. Step 2: Convert to fraction form
    50,249.74/76,974.05 = 76,974.05/x
  3. Step 3: Cross multiply
    50,249.74x = 76,974.05 × 76,974.05
  4. Step 4: Simplify right side
    50,249.74x = 5,925,003,892.31
  5. Step 5: Solve for x
    x = 5,925,003,892.31/50,249.74
  6. Step 6: Final answer
    x = 117,911.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.