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Finding the Third Proportional to 66,764 and 103,976

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Solution

The third proportional to 66,764 and 103,976 is: 161,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,764 : 103,976 = 103,976 : x
  2. Step 2: Convert to fraction form
    66,764/103,976 = 103,976/x
  3. Step 3: Cross multiply
    66,764x = 103,976 × 103,976
  4. Step 4: Simplify right side
    66,764x = 10,811,008,576
  5. Step 5: Solve for x
    x = 10,811,008,576/66,764
  6. Step 6: Final answer
    x = 161,928.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.