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Finding the Third Proportional to 37,137.75 and 80,193.75

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Solution

The third proportional to 37,137.75 and 80,193.75 is: 173,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,137.75 : 80,193.75 = 80,193.75 : x
  2. Step 2: Convert to fraction form
    37,137.75/80,193.75 = 80,193.75/x
  3. Step 3: Cross multiply
    37,137.75x = 80,193.75 × 80,193.75
  4. Step 4: Simplify right side
    37,137.75x = 6,431,037,539.06
  5. Step 5: Solve for x
    x = 6,431,037,539.06/37,137.75
  6. Step 6: Final answer
    x = 173,167.13

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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.