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Finding the Third Proportional to 50,997 and 71,687

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Solution

The third proportional to 50,997 and 71,687 is: 100,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,997 : 71,687 = 71,687 : x
  2. Step 2: Convert to fraction form
    50,997/71,687 = 71,687/x
  3. Step 3: Cross multiply
    50,997x = 71,687 × 71,687
  4. Step 4: Simplify right side
    50,997x = 5,139,025,969
  5. Step 5: Solve for x
    x = 5,139,025,969/50,997
  6. Step 6: Final answer
    x = 100,771.14

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.