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Finding the Third Proportional to 37,546.88 and 76,129.88

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Solution

The third proportional to 37,546.88 and 76,129.88 is: 154,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,546.88 : 76,129.88 = 76,129.88 : x
  2. Step 2: Convert to fraction form
    37,546.88/76,129.88 = 76,129.88/x
  3. Step 3: Cross multiply
    37,546.88x = 76,129.88 × 76,129.88
  4. Step 4: Simplify right side
    37,546.88x = 5,795,757,867.52
  5. Step 5: Solve for x
    x = 5,795,757,867.52/37,546.88
  6. Step 6: Final answer
    x = 154,360.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.