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Finding the Third Proportional to 43,743 and 68,764.50

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Solution

The third proportional to 43,743 and 68,764.50 is: 108,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,743 : 68,764.50 = 68,764.50 : x
  2. Step 2: Convert to fraction form
    43,743/68,764.50 = 68,764.50/x
  3. Step 3: Cross multiply
    43,743x = 68,764.50 × 68,764.50
  4. Step 4: Simplify right side
    43,743x = 4,728,556,460.25
  5. Step 5: Solve for x
    x = 4,728,556,460.25/43,743
  6. Step 6: Final answer
    x = 108,098.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.