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Finding the Third Proportional to 67,447.69 and 146,817.56

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Solution

The third proportional to 67,447.69 and 146,817.56 is: 319,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,447.69 : 146,817.56 = 146,817.56 : x
  2. Step 2: Convert to fraction form
    67,447.69/146,817.56 = 146,817.56/x
  3. Step 3: Cross multiply
    67,447.69x = 146,817.56 × 146,817.56
  4. Step 4: Simplify right side
    67,447.69x = 21,555,396,658.44
  5. Step 5: Solve for x
    x = 21,555,396,658.44/67,447.69
  6. Step 6: Final answer
    x = 319,586.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.