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Finding the Third Proportional to 37,125 and 81,600.75

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Solution

The third proportional to 37,125 and 81,600.75 is: 179,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,125 : 81,600.75 = 81,600.75 : x
  2. Step 2: Convert to fraction form
    37,125/81,600.75 = 81,600.75/x
  3. Step 3: Cross multiply
    37,125x = 81,600.75 × 81,600.75
  4. Step 4: Simplify right side
    37,125x = 6,658,682,400.56
  5. Step 5: Solve for x
    x = 6,658,682,400.56/37,125
  6. Step 6: Final answer
    x = 179,358.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.