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Finding the Third Proportional to 40,201 and 87,322

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Solution

The third proportional to 40,201 and 87,322 is: 189,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,201 : 87,322 = 87,322 : x
  2. Step 2: Convert to fraction form
    40,201/87,322 = 87,322/x
  3. Step 3: Cross multiply
    40,201x = 87,322 × 87,322
  4. Step 4: Simplify right side
    40,201x = 7,625,131,684
  5. Step 5: Solve for x
    x = 7,625,131,684/40,201
  6. Step 6: Final answer
    x = 189,675.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.