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Finding the Third Proportional to 73,511.30 and 159,469.17

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Solution

The third proportional to 73,511.30 and 159,469.17 is: 345,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,511.30 : 159,469.17 = 159,469.17 : x
  2. Step 2: Convert to fraction form
    73,511.30/159,469.17 = 159,469.17/x
  3. Step 3: Cross multiply
    73,511.30x = 159,469.17 × 159,469.17
  4. Step 4: Simplify right side
    73,511.30x = 25,430,416,778.50
  5. Step 5: Solve for x
    x = 25,430,416,778.50/73,511.30
  6. Step 6: Final answer
    x = 345,938.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.