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Finding the Third Proportional to 96,755 and 205,266

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Solution

The third proportional to 96,755 and 205,266 is: 435,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,755 : 205,266 = 205,266 : x
  2. Step 2: Convert to fraction form
    96,755/205,266 = 205,266/x
  3. Step 3: Cross multiply
    96,755x = 205,266 × 205,266
  4. Step 4: Simplify right side
    96,755x = 42,134,130,756
  5. Step 5: Solve for x
    x = 42,134,130,756/96,755
  6. Step 6: Final answer
    x = 435,472.39

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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.