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Finding the Third Proportional to 51,852 and 82,704

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Solution

The third proportional to 51,852 and 82,704 is: 131,912.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,852 : 82,704 = 82,704 : x
  2. Step 2: Convert to fraction form
    51,852/82,704 = 82,704/x
  3. Step 3: Cross multiply
    51,852x = 82,704 × 82,704
  4. Step 4: Simplify right side
    51,852x = 6,839,951,616
  5. Step 5: Solve for x
    x = 6,839,951,616/51,852
  6. Step 6: Final answer
    x = 131,912.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.