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Finding the Third Proportional to 85,904 and 188,748

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Solution

The third proportional to 85,904 and 188,748 is: 414,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,904 : 188,748 = 188,748 : x
  2. Step 2: Convert to fraction form
    85,904/188,748 = 188,748/x
  3. Step 3: Cross multiply
    85,904x = 188,748 × 188,748
  4. Step 4: Simplify right side
    85,904x = 35,625,807,504
  5. Step 5: Solve for x
    x = 35,625,807,504/85,904
  6. Step 6: Final answer
    x = 414,716.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.