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Finding the Third Proportional to 106 and 251

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Solution

The third proportional to 106 and 251 is: 594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 251 = 251 : x
  2. Step 2: Convert to fraction form
    106/251 = 251/x
  3. Step 3: Cross multiply
    106x = 251 × 251
  4. Step 4: Simplify right side
    106x = 63,001
  5. Step 5: Solve for x
    x = 63,001/106
  6. Step 6: Final answer
    x = 594.35

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.