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Finding the Third Proportional to 50,190 and 76,851

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Solution

The third proportional to 50,190 and 76,851 is: 117,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,190 : 76,851 = 76,851 : x
  2. Step 2: Convert to fraction form
    50,190/76,851 = 76,851/x
  3. Step 3: Cross multiply
    50,190x = 76,851 × 76,851
  4. Step 4: Simplify right side
    50,190x = 5,906,076,201
  5. Step 5: Solve for x
    x = 5,906,076,201/50,190
  6. Step 6: Final answer
    x = 117,674.36

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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.