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Finding the Third Proportional to 75,481.88 and 115,592.06

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Solution

The third proportional to 75,481.88 and 115,592.06 is: 177,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,481.88 : 115,592.06 = 115,592.06 : x
  2. Step 2: Convert to fraction form
    75,481.88/115,592.06 = 115,592.06/x
  3. Step 3: Cross multiply
    75,481.88x = 115,592.06 × 115,592.06
  4. Step 4: Simplify right side
    75,481.88x = 13,361,524,913.00
  5. Step 5: Solve for x
    x = 13,361,524,913.00/75,481.88
  6. Step 6: Final answer
    x = 177,016.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.