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Finding the Third Proportional to 66,198 and 92,601

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Solution

The third proportional to 66,198 and 92,601 is: 129,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,198 : 92,601 = 92,601 : x
  2. Step 2: Convert to fraction form
    66,198/92,601 = 92,601/x
  3. Step 3: Cross multiply
    66,198x = 92,601 × 92,601
  4. Step 4: Simplify right side
    66,198x = 8,574,945,201
  5. Step 5: Solve for x
    x = 8,574,945,201/66,198
  6. Step 6: Final answer
    x = 129,534.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.