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Finding the Third Proportional to 63,882 and 135,945

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Solution

The third proportional to 63,882 and 135,945 is: 289,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,882 : 135,945 = 135,945 : x
  2. Step 2: Convert to fraction form
    63,882/135,945 = 135,945/x
  3. Step 3: Cross multiply
    63,882x = 135,945 × 135,945
  4. Step 4: Simplify right side
    63,882x = 18,481,043,025
  5. Step 5: Solve for x
    x = 18,481,043,025/63,882
  6. Step 6: Final answer
    x = 289,299.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.