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Finding the Third Proportional to 95,762 and 205,636

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Solution

The third proportional to 95,762 and 205,636 is: 441,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,762 : 205,636 = 205,636 : x
  2. Step 2: Convert to fraction form
    95,762/205,636 = 205,636/x
  3. Step 3: Cross multiply
    95,762x = 205,636 × 205,636
  4. Step 4: Simplify right side
    95,762x = 42,286,164,496
  5. Step 5: Solve for x
    x = 42,286,164,496/95,762
  6. Step 6: Final answer
    x = 441,575.62

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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.