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Finding the Third Proportional to 57,474 and 82,281

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Solution

The third proportional to 57,474 and 82,281 is: 117,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,474 : 82,281 = 82,281 : x
  2. Step 2: Convert to fraction form
    57,474/82,281 = 82,281/x
  3. Step 3: Cross multiply
    57,474x = 82,281 × 82,281
  4. Step 4: Simplify right side
    57,474x = 6,770,162,961
  5. Step 5: Solve for x
    x = 6,770,162,961/57,474
  6. Step 6: Final answer
    x = 117,795.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.