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Finding the Third Proportional to 104,388.75 and 158,658.75

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Solution

The third proportional to 104,388.75 and 158,658.75 is: 241,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,388.75 : 158,658.75 = 158,658.75 : x
  2. Step 2: Convert to fraction form
    104,388.75/158,658.75 = 158,658.75/x
  3. Step 3: Cross multiply
    104,388.75x = 158,658.75 × 158,658.75
  4. Step 4: Simplify right side
    104,388.75x = 25,172,598,951.56
  5. Step 5: Solve for x
    x = 25,172,598,951.56/104,388.75
  6. Step 6: Final answer
    x = 241,142.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.