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Finding the Third Proportional to 67,418 and 146,722

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Solution

The third proportional to 67,418 and 146,722 is: 319,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,418 : 146,722 = 146,722 : x
  2. Step 2: Convert to fraction form
    67,418/146,722 = 146,722/x
  3. Step 3: Cross multiply
    67,418x = 146,722 × 146,722
  4. Step 4: Simplify right side
    67,418x = 21,527,345,284
  5. Step 5: Solve for x
    x = 21,527,345,284/67,418
  6. Step 6: Final answer
    x = 319,311.54

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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.