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Finding the Third Proportional to 51,274 and 106,631

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Solution

The third proportional to 51,274 and 106,631 is: 221,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,274 : 106,631 = 106,631 : x
  2. Step 2: Convert to fraction form
    51,274/106,631 = 106,631/x
  3. Step 3: Cross multiply
    51,274x = 106,631 × 106,631
  4. Step 4: Simplify right side
    51,274x = 11,370,170,161
  5. Step 5: Solve for x
    x = 11,370,170,161/51,274
  6. Step 6: Final answer
    x = 221,753.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.