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Finding the Third Proportional to 59,511.75 and 140,244.75

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Solution

The third proportional to 59,511.75 and 140,244.75 is: 330,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,511.75 : 140,244.75 = 140,244.75 : x
  2. Step 2: Convert to fraction form
    59,511.75/140,244.75 = 140,244.75/x
  3. Step 3: Cross multiply
    59,511.75x = 140,244.75 × 140,244.75
  4. Step 4: Simplify right side
    59,511.75x = 19,668,589,902.56
  5. Step 5: Solve for x
    x = 19,668,589,902.56/59,511.75
  6. Step 6: Final answer
    x = 330,499.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.