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Finding the Third Proportional to 84,753 and 188,093

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Solution

The third proportional to 84,753 and 188,093 is: 417,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,753 : 188,093 = 188,093 : x
  2. Step 2: Convert to fraction form
    84,753/188,093 = 188,093/x
  3. Step 3: Cross multiply
    84,753x = 188,093 × 188,093
  4. Step 4: Simplify right side
    84,753x = 35,378,976,649
  5. Step 5: Solve for x
    x = 35,378,976,649/84,753
  6. Step 6: Final answer
    x = 417,436.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.