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Finding the Third Proportional to 40,201 and 87,544

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Solution

The third proportional to 40,201 and 87,544 is: 190,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,201 : 87,544 = 87,544 : x
  2. Step 2: Convert to fraction form
    40,201/87,544 = 87,544/x
  3. Step 3: Cross multiply
    40,201x = 87,544 × 87,544
  4. Step 4: Simplify right side
    40,201x = 7,663,951,936
  5. Step 5: Solve for x
    x = 7,663,951,936/40,201
  6. Step 6: Final answer
    x = 190,640.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.