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Finding the Third Proportional to 95,250 and 206,904

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Solution

The third proportional to 95,250 and 206,904 is: 449,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,250 : 206,904 = 206,904 : x
  2. Step 2: Convert to fraction form
    95,250/206,904 = 206,904/x
  3. Step 3: Cross multiply
    95,250x = 206,904 × 206,904
  4. Step 4: Simplify right side
    95,250x = 42,809,265,216
  5. Step 5: Solve for x
    x = 42,809,265,216/95,250
  6. Step 6: Final answer
    x = 449,441.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.