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Finding the Third Proportional to 51,626 and 107,932

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Solution

The third proportional to 51,626 and 107,932 is: 225,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,626 : 107,932 = 107,932 : x
  2. Step 2: Convert to fraction form
    51,626/107,932 = 107,932/x
  3. Step 3: Cross multiply
    51,626x = 107,932 × 107,932
  4. Step 4: Simplify right side
    51,626x = 11,649,316,624
  5. Step 5: Solve for x
    x = 11,649,316,624/51,626
  6. Step 6: Final answer
    x = 225,648.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.