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Finding the Third Proportional to 96,873 and 205,269

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Solution

The third proportional to 96,873 and 205,269 is: 434,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,873 : 205,269 = 205,269 : x
  2. Step 2: Convert to fraction form
    96,873/205,269 = 205,269/x
  3. Step 3: Cross multiply
    96,873x = 205,269 × 205,269
  4. Step 4: Simplify right side
    96,873x = 42,135,362,361
  5. Step 5: Solve for x
    x = 42,135,362,361/96,873
  6. Step 6: Final answer
    x = 434,954.66

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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.