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Finding the Third Proportional to 89,719 and 188,738

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Solution

The third proportional to 89,719 and 188,738 is: 397,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,719 : 188,738 = 188,738 : x
  2. Step 2: Convert to fraction form
    89,719/188,738 = 188,738/x
  3. Step 3: Cross multiply
    89,719x = 188,738 × 188,738
  4. Step 4: Simplify right side
    89,719x = 35,622,032,644
  5. Step 5: Solve for x
    x = 35,622,032,644/89,719
  6. Step 6: Final answer
    x = 397,040.01

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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.