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Finding the Third Proportional to 44,039 and 98,162

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Solution

The third proportional to 44,039 and 98,162 is: 218,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,039 : 98,162 = 98,162 : x
  2. Step 2: Convert to fraction form
    44,039/98,162 = 98,162/x
  3. Step 3: Cross multiply
    44,039x = 98,162 × 98,162
  4. Step 4: Simplify right side
    44,039x = 9,635,778,244
  5. Step 5: Solve for x
    x = 9,635,778,244/44,039
  6. Step 6: Final answer
    x = 218,801.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.