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Finding the Third Proportional to 95,517 and 205,128

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Solution

The third proportional to 95,517 and 205,128 is: 440,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,517 : 205,128 = 205,128 : x
  2. Step 2: Convert to fraction form
    95,517/205,128 = 205,128/x
  3. Step 3: Cross multiply
    95,517x = 205,128 × 205,128
  4. Step 4: Simplify right side
    95,517x = 42,077,496,384
  5. Step 5: Solve for x
    x = 42,077,496,384/95,517
  6. Step 6: Final answer
    x = 440,523.64

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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.