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Finding the Third Proportional to 51,182 and 107,966

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Solution

The third proportional to 51,182 and 107,966 is: 227,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,182 : 107,966 = 107,966 : x
  2. Step 2: Convert to fraction form
    51,182/107,966 = 107,966/x
  3. Step 3: Cross multiply
    51,182x = 107,966 × 107,966
  4. Step 4: Simplify right side
    51,182x = 11,656,657,156
  5. Step 5: Solve for x
    x = 11,656,657,156/51,182
  6. Step 6: Final answer
    x = 227,749.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.