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Finding the Third Proportional to 96,000.19 and 131,835.09

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Solution

The third proportional to 96,000.19 and 131,835.09 is: 181,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000.19 : 131,835.09 = 131,835.09 : x
  2. Step 2: Convert to fraction form
    96,000.19/131,835.09 = 131,835.09/x
  3. Step 3: Cross multiply
    96,000.19x = 131,835.09 × 131,835.09
  4. Step 4: Simplify right side
    96,000.19x = 17,380,491,944.07
  5. Step 5: Solve for x
    x = 17,380,491,944.07/96,000.19
  6. Step 6: Final answer
    x = 181,046.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.