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Finding the Third Proportional to 34,670.25 and 76,102.88

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Solution

The third proportional to 34,670.25 and 76,102.88 is: 167,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,670.25 : 76,102.88 = 76,102.88 : x
  2. Step 2: Convert to fraction form
    34,670.25/76,102.88 = 76,102.88/x
  3. Step 3: Cross multiply
    34,670.25x = 76,102.88 × 76,102.88
  4. Step 4: Simplify right side
    34,670.25x = 5,791,647,583.27
  5. Step 5: Solve for x
    x = 5,791,647,583.27/34,670.25
  6. Step 6: Final answer
    x = 167,049.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.