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Finding the Third Proportional to 63,696 and 138,452

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Solution

The third proportional to 63,696 and 138,452 is: 300,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,696 : 138,452 = 138,452 : x
  2. Step 2: Convert to fraction form
    63,696/138,452 = 138,452/x
  3. Step 3: Cross multiply
    63,696x = 138,452 × 138,452
  4. Step 4: Simplify right side
    63,696x = 19,168,956,304
  5. Step 5: Solve for x
    x = 19,168,956,304/63,696
  6. Step 6: Final answer
    x = 300,944.43

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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.