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Finding the Third Proportional to 67,622 and 146,692

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Solution

The third proportional to 67,622 and 146,692 is: 318,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,622 : 146,692 = 146,692 : x
  2. Step 2: Convert to fraction form
    67,622/146,692 = 146,692/x
  3. Step 3: Cross multiply
    67,622x = 146,692 × 146,692
  4. Step 4: Simplify right side
    67,622x = 21,518,542,864
  5. Step 5: Solve for x
    x = 21,518,542,864/67,622
  6. Step 6: Final answer
    x = 318,218.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.