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Finding the Third Proportional to 37,125 and 80,406

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Solution

The third proportional to 37,125 and 80,406 is: 174,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,125 : 80,406 = 80,406 : x
  2. Step 2: Convert to fraction form
    37,125/80,406 = 80,406/x
  3. Step 3: Cross multiply
    37,125x = 80,406 × 80,406
  4. Step 4: Simplify right side
    37,125x = 6,465,124,836
  5. Step 5: Solve for x
    x = 6,465,124,836/37,125
  6. Step 6: Final answer
    x = 174,144.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.