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Finding the Third Proportional to 41,841 and 87,993

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Solution

The third proportional to 41,841 and 87,993 is: 185,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,841 : 87,993 = 87,993 : x
  2. Step 2: Convert to fraction form
    41,841/87,993 = 87,993/x
  3. Step 3: Cross multiply
    41,841x = 87,993 × 87,993
  4. Step 4: Simplify right side
    41,841x = 7,742,768,049
  5. Step 5: Solve for x
    x = 7,742,768,049/41,841
  6. Step 6: Final answer
    x = 185,052.17

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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.