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Finding the Third Proportional to 95,272 and 205,610

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Solution

The third proportional to 95,272 and 205,610 is: 443,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,272 : 205,610 = 205,610 : x
  2. Step 2: Convert to fraction form
    95,272/205,610 = 205,610/x
  3. Step 3: Cross multiply
    95,272x = 205,610 × 205,610
  4. Step 4: Simplify right side
    95,272x = 42,275,472,100
  5. Step 5: Solve for x
    x = 42,275,472,100/95,272
  6. Step 6: Final answer
    x = 443,734.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.