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Finding the Third Proportional to 66,923 and 91,765

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Solution

The third proportional to 66,923 and 91,765 is: 125,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,923 : 91,765 = 91,765 : x
  2. Step 2: Convert to fraction form
    66,923/91,765 = 91,765/x
  3. Step 3: Cross multiply
    66,923x = 91,765 × 91,765
  4. Step 4: Simplify right side
    66,923x = 8,420,815,225
  5. Step 5: Solve for x
    x = 8,420,815,225/66,923
  6. Step 6: Final answer
    x = 125,828.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.