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Finding the Third Proportional to 51,084 and 82,026

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Solution

The third proportional to 51,084 and 82,026 is: 131,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,084 : 82,026 = 82,026 : x
  2. Step 2: Convert to fraction form
    51,084/82,026 = 82,026/x
  3. Step 3: Cross multiply
    51,084x = 82,026 × 82,026
  4. Step 4: Simplify right side
    51,084x = 6,728,264,676
  5. Step 5: Solve for x
    x = 6,728,264,676/51,084
  6. Step 6: Final answer
    x = 131,709.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.