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Finding the Third Proportional to 49,686 and 75,171

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Solution

The third proportional to 49,686 and 75,171 is: 113,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,686 : 75,171 = 75,171 : x
  2. Step 2: Convert to fraction form
    49,686/75,171 = 75,171/x
  3. Step 3: Cross multiply
    49,686x = 75,171 × 75,171
  4. Step 4: Simplify right side
    49,686x = 5,650,679,241
  5. Step 5: Solve for x
    x = 5,650,679,241/49,686
  6. Step 6: Final answer
    x = 113,727.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.