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Finding the Third Proportional to 51,510 and 106,329

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Solution

The third proportional to 51,510 and 106,329 is: 219,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,510 : 106,329 = 106,329 : x
  2. Step 2: Convert to fraction form
    51,510/106,329 = 106,329/x
  3. Step 3: Cross multiply
    51,510x = 106,329 × 106,329
  4. Step 4: Simplify right side
    51,510x = 11,305,856,241
  5. Step 5: Solve for x
    x = 11,305,856,241/51,510
  6. Step 6: Final answer
    x = 219,488.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.