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Finding the Third Proportional to 40,201 and 86,517

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Solution

The third proportional to 40,201 and 86,517 is: 186,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,201 : 86,517 = 86,517 : x
  2. Step 2: Convert to fraction form
    40,201/86,517 = 86,517/x
  3. Step 3: Cross multiply
    40,201x = 86,517 × 86,517
  4. Step 4: Simplify right side
    40,201x = 7,485,191,289
  5. Step 5: Solve for x
    x = 7,485,191,289/40,201
  6. Step 6: Final answer
    x = 186,194.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.