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Finding the Third Proportional to 69,071 and 150,634

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Solution

The third proportional to 69,071 and 150,634 is: 328,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,071 : 150,634 = 150,634 : x
  2. Step 2: Convert to fraction form
    69,071/150,634 = 150,634/x
  3. Step 3: Cross multiply
    69,071x = 150,634 × 150,634
  4. Step 4: Simplify right side
    69,071x = 22,690,601,956
  5. Step 5: Solve for x
    x = 22,690,601,956/69,071
  6. Step 6: Final answer
    x = 328,511.27

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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.