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Finding the Third Proportional to 40,012 and 87,224

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Solution

The third proportional to 40,012 and 87,224 is: 190,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,012 : 87,224 = 87,224 : x
  2. Step 2: Convert to fraction form
    40,012/87,224 = 87,224/x
  3. Step 3: Cross multiply
    40,012x = 87,224 × 87,224
  4. Step 4: Simplify right side
    40,012x = 7,608,026,176
  5. Step 5: Solve for x
    x = 7,608,026,176/40,012
  6. Step 6: Final answer
    x = 190,143.61

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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.