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Finding the Third Proportional to 67,879 and 146,206

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Solution

The third proportional to 67,879 and 146,206 is: 314,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,879 : 146,206 = 146,206 : x
  2. Step 2: Convert to fraction form
    67,879/146,206 = 146,206/x
  3. Step 3: Cross multiply
    67,879x = 146,206 × 146,206
  4. Step 4: Simplify right side
    67,879x = 21,376,194,436
  5. Step 5: Solve for x
    x = 21,376,194,436/67,879
  6. Step 6: Final answer
    x = 314,916.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.