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Finding the Third Proportional to 57,606 and 82,376

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Solution

The third proportional to 57,606 and 82,376 is: 117,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,606 : 82,376 = 82,376 : x
  2. Step 2: Convert to fraction form
    57,606/82,376 = 82,376/x
  3. Step 3: Cross multiply
    57,606x = 82,376 × 82,376
  4. Step 4: Simplify right side
    57,606x = 6,785,805,376
  5. Step 5: Solve for x
    x = 6,785,805,376/57,606
  6. Step 6: Final answer
    x = 117,796.85

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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.