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Finding the Third Proportional to 50,206 and 73,631

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Solution

The third proportional to 50,206 and 73,631 is: 107,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206 : 73,631 = 73,631 : x
  2. Step 2: Convert to fraction form
    50,206/73,631 = 73,631/x
  3. Step 3: Cross multiply
    50,206x = 73,631 × 73,631
  4. Step 4: Simplify right side
    50,206x = 5,421,524,161
  5. Step 5: Solve for x
    x = 5,421,524,161/50,206
  6. Step 6: Final answer
    x = 107,985.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.