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Finding the Third Proportional to 71,996.34 and 168,201.56

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Solution

The third proportional to 71,996.34 and 168,201.56 is: 392,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,996.34 : 168,201.56 = 168,201.56 : x
  2. Step 2: Convert to fraction form
    71,996.34/168,201.56 = 168,201.56/x
  3. Step 3: Cross multiply
    71,996.34x = 168,201.56 × 168,201.56
  4. Step 4: Simplify right side
    71,996.34x = 28,291,765,627.44
  5. Step 5: Solve for x
    x = 28,291,765,627.44/71,996.34
  6. Step 6: Final answer
    x = 392,961.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.