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Finding the Third Proportional to 40,941 and 87,804

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Solution

The third proportional to 40,941 and 87,804 is: 188,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,941 : 87,804 = 87,804 : x
  2. Step 2: Convert to fraction form
    40,941/87,804 = 87,804/x
  3. Step 3: Cross multiply
    40,941x = 87,804 × 87,804
  4. Step 4: Simplify right side
    40,941x = 7,709,542,416
  5. Step 5: Solve for x
    x = 7,709,542,416/40,941
  6. Step 6: Final answer
    x = 188,308.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.