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Finding the Third Proportional to 96,240 and 203,012

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Solution

The third proportional to 96,240 and 203,012 is: 428,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,240 : 203,012 = 203,012 : x
  2. Step 2: Convert to fraction form
    96,240/203,012 = 203,012/x
  3. Step 3: Cross multiply
    96,240x = 203,012 × 203,012
  4. Step 4: Simplify right side
    96,240x = 41,213,872,144
  5. Step 5: Solve for x
    x = 41,213,872,144/96,240
  6. Step 6: Final answer
    x = 428,240.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.