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Finding the Third Proportional to 63,794 and 138,646

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Solution

The third proportional to 63,794 and 138,646 is: 301,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,794 : 138,646 = 138,646 : x
  2. Step 2: Convert to fraction form
    63,794/138,646 = 138,646/x
  3. Step 3: Cross multiply
    63,794x = 138,646 × 138,646
  4. Step 4: Simplify right side
    63,794x = 19,222,713,316
  5. Step 5: Solve for x
    x = 19,222,713,316/63,794
  6. Step 6: Final answer
    x = 301,324.78

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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.