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Finding the Third Proportional to 95,776 and 205,965

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Solution

The third proportional to 95,776 and 205,965 is: 442,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,776 : 205,965 = 205,965 : x
  2. Step 2: Convert to fraction form
    95,776/205,965 = 205,965/x
  3. Step 3: Cross multiply
    95,776x = 205,965 × 205,965
  4. Step 4: Simplify right side
    95,776x = 42,421,581,225
  5. Step 5: Solve for x
    x = 42,421,581,225/95,776
  6. Step 6: Final answer
    x = 442,924.96

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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.