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Finding the Third Proportional to 63,367 and 136,093

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Solution

The third proportional to 63,367 and 136,093 is: 292,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,367 : 136,093 = 136,093 : x
  2. Step 2: Convert to fraction form
    63,367/136,093 = 136,093/x
  3. Step 3: Cross multiply
    63,367x = 136,093 × 136,093
  4. Step 4: Simplify right side
    63,367x = 18,521,304,649
  5. Step 5: Solve for x
    x = 18,521,304,649/63,367
  6. Step 6: Final answer
    x = 292,286.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.