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Finding the Third Proportional to 50,914 and 74,061

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Solution

The third proportional to 50,914 and 74,061 is: 107,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,914 : 74,061 = 74,061 : x
  2. Step 2: Convert to fraction form
    50,914/74,061 = 74,061/x
  3. Step 3: Cross multiply
    50,914x = 74,061 × 74,061
  4. Step 4: Simplify right side
    50,914x = 5,485,031,721
  5. Step 5: Solve for x
    x = 5,485,031,721/50,914
  6. Step 6: Final answer
    x = 107,731.31

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.