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Finding the Third Proportional to 96,738 and 203,268

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Solution

The third proportional to 96,738 and 203,268 is: 427,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,738 : 203,268 = 203,268 : x
  2. Step 2: Convert to fraction form
    96,738/203,268 = 203,268/x
  3. Step 3: Cross multiply
    96,738x = 203,268 × 203,268
  4. Step 4: Simplify right side
    96,738x = 41,317,879,824
  5. Step 5: Solve for x
    x = 41,317,879,824/96,738
  6. Step 6: Final answer
    x = 427,111.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.