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Finding the Third Proportional to 51,736 and 82,059

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Solution

The third proportional to 51,736 and 82,059 is: 130,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,736 : 82,059 = 82,059 : x
  2. Step 2: Convert to fraction form
    51,736/82,059 = 82,059/x
  3. Step 3: Cross multiply
    51,736x = 82,059 × 82,059
  4. Step 4: Simplify right side
    51,736x = 6,733,679,481
  5. Step 5: Solve for x
    x = 6,733,679,481/51,736
  6. Step 6: Final answer
    x = 130,154.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.