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Finding the Third Proportional to 77,713 and 169,474

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Solution

The third proportional to 77,713 and 169,474 is: 369,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,713 : 169,474 = 169,474 : x
  2. Step 2: Convert to fraction form
    77,713/169,474 = 169,474/x
  3. Step 3: Cross multiply
    77,713x = 169,474 × 169,474
  4. Step 4: Simplify right side
    77,713x = 28,721,436,676
  5. Step 5: Solve for x
    x = 28,721,436,676/77,713
  6. Step 6: Final answer
    x = 369,583.42

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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.