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Finding the Third Proportional to 50,606 and 75,634

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Solution

The third proportional to 50,606 and 75,634 is: 113,039.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,606 : 75,634 = 75,634 : x
  2. Step 2: Convert to fraction form
    50,606/75,634 = 75,634/x
  3. Step 3: Cross multiply
    50,606x = 75,634 × 75,634
  4. Step 4: Simplify right side
    50,606x = 5,720,501,956
  5. Step 5: Solve for x
    x = 5,720,501,956/50,606
  6. Step 6: Final answer
    x = 113,039.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.