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Finding the Third Proportional to 95,538 and 205,170

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Solution

The third proportional to 95,538 and 205,170 is: 440,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,538 : 205,170 = 205,170 : x
  2. Step 2: Convert to fraction form
    95,538/205,170 = 205,170/x
  3. Step 3: Cross multiply
    95,538x = 205,170 × 205,170
  4. Step 4: Simplify right side
    95,538x = 42,094,728,900
  5. Step 5: Solve for x
    x = 42,094,728,900/95,538
  6. Step 6: Final answer
    x = 440,607.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.