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Finding the Third Proportional to 96,530 and 204,712

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Solution

The third proportional to 96,530 and 204,712 is: 434,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,530 : 204,712 = 204,712 : x
  2. Step 2: Convert to fraction form
    96,530/204,712 = 204,712/x
  3. Step 3: Cross multiply
    96,530x = 204,712 × 204,712
  4. Step 4: Simplify right side
    96,530x = 41,907,002,944
  5. Step 5: Solve for x
    x = 41,907,002,944/96,530
  6. Step 6: Final answer
    x = 434,134.50

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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.