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Finding the Third Proportional to 37,264 and 81,224

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Solution

The third proportional to 37,264 and 81,224 is: 177,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,264 : 81,224 = 81,224 : x
  2. Step 2: Convert to fraction form
    37,264/81,224 = 81,224/x
  3. Step 3: Cross multiply
    37,264x = 81,224 × 81,224
  4. Step 4: Simplify right side
    37,264x = 6,597,338,176
  5. Step 5: Solve for x
    x = 6,597,338,176/37,264
  6. Step 6: Final answer
    x = 177,043.21

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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.