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Finding the Third Proportional to 67,486 and 146,624

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Solution

The third proportional to 67,486 and 146,624 is: 318,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,486 : 146,624 = 146,624 : x
  2. Step 2: Convert to fraction form
    67,486/146,624 = 146,624/x
  3. Step 3: Cross multiply
    67,486x = 146,624 × 146,624
  4. Step 4: Simplify right side
    67,486x = 21,498,597,376
  5. Step 5: Solve for x
    x = 21,498,597,376/67,486
  6. Step 6: Final answer
    x = 318,563.81

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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.