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Finding the Third Proportional to 43,704 and 66,176

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Solution

The third proportional to 43,704 and 66,176 is: 100,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,704 : 66,176 = 66,176 : x
  2. Step 2: Convert to fraction form
    43,704/66,176 = 66,176/x
  3. Step 3: Cross multiply
    43,704x = 66,176 × 66,176
  4. Step 4: Simplify right side
    43,704x = 4,379,262,976
  5. Step 5: Solve for x
    x = 4,379,262,976/43,704
  6. Step 6: Final answer
    x = 100,202.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.