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Finding the Third Proportional to 63,618 and 138,198

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Solution

The third proportional to 63,618 and 138,198 is: 300,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,618 : 138,198 = 138,198 : x
  2. Step 2: Convert to fraction form
    63,618/138,198 = 138,198/x
  3. Step 3: Cross multiply
    63,618x = 138,198 × 138,198
  4. Step 4: Simplify right side
    63,618x = 19,098,687,204
  5. Step 5: Solve for x
    x = 19,098,687,204/63,618
  6. Step 6: Final answer
    x = 300,208.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.