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Finding the Third Proportional to 48,241 and 74,193

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Solution

The third proportional to 48,241 and 74,193 is: 114,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,241 : 74,193 = 74,193 : x
  2. Step 2: Convert to fraction form
    48,241/74,193 = 74,193/x
  3. Step 3: Cross multiply
    48,241x = 74,193 × 74,193
  4. Step 4: Simplify right side
    48,241x = 5,504,601,249
  5. Step 5: Solve for x
    x = 5,504,601,249/48,241
  6. Step 6: Final answer
    x = 114,106.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.