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Finding the Third Proportional to 65,190.75 and 156,996.75

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Solution

The third proportional to 65,190.75 and 156,996.75 is: 378,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,190.75 : 156,996.75 = 156,996.75 : x
  2. Step 2: Convert to fraction form
    65,190.75/156,996.75 = 156,996.75/x
  3. Step 3: Cross multiply
    65,190.75x = 156,996.75 × 156,996.75
  4. Step 4: Simplify right side
    65,190.75x = 24,647,979,510.56
  5. Step 5: Solve for x
    x = 24,647,979,510.56/65,190.75
  6. Step 6: Final answer
    x = 378,090.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.