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Finding the Third Proportional to 40,201 and 84,863

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Solution

The third proportional to 40,201 and 84,863 is: 179,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,201 : 84,863 = 84,863 : x
  2. Step 2: Convert to fraction form
    40,201/84,863 = 84,863/x
  3. Step 3: Cross multiply
    40,201x = 84,863 × 84,863
  4. Step 4: Simplify right side
    40,201x = 7,201,728,769
  5. Step 5: Solve for x
    x = 7,201,728,769/40,201
  6. Step 6: Final answer
    x = 179,143.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.