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Finding the Third Proportional to 50,727 and 79,161

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Solution

The third proportional to 50,727 and 79,161 is: 123,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,727 : 79,161 = 79,161 : x
  2. Step 2: Convert to fraction form
    50,727/79,161 = 79,161/x
  3. Step 3: Cross multiply
    50,727x = 79,161 × 79,161
  4. Step 4: Simplify right side
    50,727x = 6,266,463,921
  5. Step 5: Solve for x
    x = 6,266,463,921/50,727
  6. Step 6: Final answer
    x = 123,533.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.