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Finding the Third Proportional to 51,079 and 108,302

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Solution

The third proportional to 51,079 and 108,302 is: 229,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,079 : 108,302 = 108,302 : x
  2. Step 2: Convert to fraction form
    51,079/108,302 = 108,302/x
  3. Step 3: Cross multiply
    51,079x = 108,302 × 108,302
  4. Step 4: Simplify right side
    51,079x = 11,729,323,204
  5. Step 5: Solve for x
    x = 11,729,323,204/51,079
  6. Step 6: Final answer
    x = 229,631.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.