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Finding the Third Proportional to 67,277.25 and 158,591.25

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Solution

The third proportional to 67,277.25 and 158,591.25 is: 373,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,277.25 : 158,591.25 = 158,591.25 : x
  2. Step 2: Convert to fraction form
    67,277.25/158,591.25 = 158,591.25/x
  3. Step 3: Cross multiply
    67,277.25x = 158,591.25 × 158,591.25
  4. Step 4: Simplify right side
    67,277.25x = 25,151,184,576.56
  5. Step 5: Solve for x
    x = 25,151,184,576.56/67,277.25
  6. Step 6: Final answer
    x = 373,843.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.