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Finding the Third Proportional to 67,869.14 and 149,122.27

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Solution

The third proportional to 67,869.14 and 149,122.27 is: 327,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,869.14 : 149,122.27 = 149,122.27 : x
  2. Step 2: Convert to fraction form
    67,869.14/149,122.27 = 149,122.27/x
  3. Step 3: Cross multiply
    67,869.14x = 149,122.27 × 149,122.27
  4. Step 4: Simplify right side
    67,869.14x = 22,237,450,105.13
  5. Step 5: Solve for x
    x = 22,237,450,105.13/67,869.14
  6. Step 6: Final answer
    x = 327,651.86

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Why These Related Problems?

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