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Finding the Third Proportional to 37,206.75 and 80,245.50

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Solution

The third proportional to 37,206.75 and 80,245.50 is: 173,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,206.75 : 80,245.50 = 80,245.50 : x
  2. Step 2: Convert to fraction form
    37,206.75/80,245.50 = 80,245.50/x
  3. Step 3: Cross multiply
    37,206.75x = 80,245.50 × 80,245.50
  4. Step 4: Simplify right side
    37,206.75x = 6,439,340,270.25
  5. Step 5: Solve for x
    x = 6,439,340,270.25/37,206.75
  6. Step 6: Final answer
    x = 173,069.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.