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Finding the Third Proportional to 50,760 and 79,029

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Solution

The third proportional to 50,760 and 79,029 is: 123,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,760 : 79,029 = 79,029 : x
  2. Step 2: Convert to fraction form
    50,760/79,029 = 79,029/x
  3. Step 3: Cross multiply
    50,760x = 79,029 × 79,029
  4. Step 4: Simplify right side
    50,760x = 6,245,582,841
  5. Step 5: Solve for x
    x = 6,245,582,841/50,760
  6. Step 6: Final answer
    x = 123,041.43

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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.