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Finding the Third Proportional to 50,342 and 79,977

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Solution

The third proportional to 50,342 and 79,977 is: 127,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,342 : 79,977 = 79,977 : x
  2. Step 2: Convert to fraction form
    50,342/79,977 = 79,977/x
  3. Step 3: Cross multiply
    50,342x = 79,977 × 79,977
  4. Step 4: Simplify right side
    50,342x = 6,396,320,529
  5. Step 5: Solve for x
    x = 6,396,320,529/50,342
  6. Step 6: Final answer
    x = 127,057.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.