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Finding the Third Proportional to 89,747 and 188,722

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Solution

The third proportional to 89,747 and 188,722 is: 396,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,747 : 188,722 = 188,722 : x
  2. Step 2: Convert to fraction form
    89,747/188,722 = 188,722/x
  3. Step 3: Cross multiply
    89,747x = 188,722 × 188,722
  4. Step 4: Simplify right side
    89,747x = 35,615,993,284
  5. Step 5: Solve for x
    x = 35,615,993,284/89,747
  6. Step 6: Final answer
    x = 396,848.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.