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Finding the Third Proportional to 52,589 and 113,197

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Solution

The third proportional to 52,589 and 113,197 is: 243,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,589 : 113,197 = 113,197 : x
  2. Step 2: Convert to fraction form
    52,589/113,197 = 113,197/x
  3. Step 3: Cross multiply
    52,589x = 113,197 × 113,197
  4. Step 4: Simplify right side
    52,589x = 12,813,560,809
  5. Step 5: Solve for x
    x = 12,813,560,809/52,589
  6. Step 6: Final answer
    x = 243,654.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.