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Finding the Third Proportional to 50,686 and 76,029

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Solution

The third proportional to 50,686 and 76,029 is: 114,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,686 : 76,029 = 76,029 : x
  2. Step 2: Convert to fraction form
    50,686/76,029 = 76,029/x
  3. Step 3: Cross multiply
    50,686x = 76,029 × 76,029
  4. Step 4: Simplify right side
    50,686x = 5,780,408,841
  5. Step 5: Solve for x
    x = 5,780,408,841/50,686
  6. Step 6: Final answer
    x = 114,043.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.