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Finding the Third Proportional to 86,190.50 and 182,815

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Solution

The third proportional to 86,190.50 and 182,815 is: 387,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,190.50 : 182,815 = 182,815 : x
  2. Step 2: Convert to fraction form
    86,190.50/182,815 = 182,815/x
  3. Step 3: Cross multiply
    86,190.50x = 182,815 × 182,815
  4. Step 4: Simplify right side
    86,190.50x = 33,421,324,225
  5. Step 5: Solve for x
    x = 33,421,324,225/86,190.50
  6. Step 6: Final answer
    x = 387,761.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.