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Finding the Third Proportional to 34,524 and 76,419

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Solution

The third proportional to 34,524 and 76,419 is: 169,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524 : 76,419 = 76,419 : x
  2. Step 2: Convert to fraction form
    34,524/76,419 = 76,419/x
  3. Step 3: Cross multiply
    34,524x = 76,419 × 76,419
  4. Step 4: Simplify right side
    34,524x = 5,839,863,561
  5. Step 5: Solve for x
    x = 5,839,863,561/34,524
  6. Step 6: Final answer
    x = 169,153.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.