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Finding the Third Proportional to 68,536.13 and 158,651.44

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Solution

The third proportional to 68,536.13 and 158,651.44 is: 367,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,536.13 : 158,651.44 = 158,651.44 : x
  2. Step 2: Convert to fraction form
    68,536.13/158,651.44 = 158,651.44/x
  3. Step 3: Cross multiply
    68,536.13x = 158,651.44 × 158,651.44
  4. Step 4: Simplify right side
    68,536.13x = 25,170,278,620.82
  5. Step 5: Solve for x
    x = 25,170,278,620.82/68,536.13
  6. Step 6: Final answer
    x = 367,255.64

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.