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Finding the Third Proportional to 67,032 and 146,864

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Solution

The third proportional to 67,032 and 146,864 is: 321,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,032 : 146,864 = 146,864 : x
  2. Step 2: Convert to fraction form
    67,032/146,864 = 146,864/x
  3. Step 3: Cross multiply
    67,032x = 146,864 × 146,864
  4. Step 4: Simplify right side
    67,032x = 21,569,034,496
  5. Step 5: Solve for x
    x = 21,569,034,496/67,032
  6. Step 6: Final answer
    x = 321,772.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.