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Finding the Third Proportional to 52,427.50 and 113,198

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Solution

The third proportional to 52,427.50 and 113,198 is: 244,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,427.50 : 113,198 = 113,198 : x
  2. Step 2: Convert to fraction form
    52,427.50/113,198 = 113,198/x
  3. Step 3: Cross multiply
    52,427.50x = 113,198 × 113,198
  4. Step 4: Simplify right side
    52,427.50x = 12,813,787,204
  5. Step 5: Solve for x
    x = 12,813,787,204/52,427.50
  6. Step 6: Final answer
    x = 244,409.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.