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Finding the Third Proportional to 101,324.25 and 156,906.75

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Solution

The third proportional to 101,324.25 and 156,906.75 is: 242,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,324.25 : 156,906.75 = 156,906.75 : x
  2. Step 2: Convert to fraction form
    101,324.25/156,906.75 = 156,906.75/x
  3. Step 3: Cross multiply
    101,324.25x = 156,906.75 × 156,906.75
  4. Step 4: Simplify right side
    101,324.25x = 24,619,728,195.56
  5. Step 5: Solve for x
    x = 24,619,728,195.56/101,324.25
  6. Step 6: Final answer
    x = 242,979.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.