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Finding the Third Proportional to 45,945 and 72,198

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Solution

The third proportional to 45,945 and 72,198 is: 113,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,945 : 72,198 = 72,198 : x
  2. Step 2: Convert to fraction form
    45,945/72,198 = 72,198/x
  3. Step 3: Cross multiply
    45,945x = 72,198 × 72,198
  4. Step 4: Simplify right side
    45,945x = 5,212,551,204
  5. Step 5: Solve for x
    x = 5,212,551,204/45,945
  6. Step 6: Final answer
    x = 113,451.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.