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Finding the Third Proportional to 95,022 and 205,110

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Solution

The third proportional to 95,022 and 205,110 is: 442,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,022 : 205,110 = 205,110 : x
  2. Step 2: Convert to fraction form
    95,022/205,110 = 205,110/x
  3. Step 3: Cross multiply
    95,022x = 205,110 × 205,110
  4. Step 4: Simplify right side
    95,022x = 42,070,112,100
  5. Step 5: Solve for x
    x = 42,070,112,100/95,022
  6. Step 6: Final answer
    x = 442,740.76

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Why These Related Problems?

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