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Finding the Third Proportional to 68,622 and 146,757

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Solution

The third proportional to 68,622 and 146,757 is: 313,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,622 : 146,757 = 146,757 : x
  2. Step 2: Convert to fraction form
    68,622/146,757 = 146,757/x
  3. Step 3: Cross multiply
    68,622x = 146,757 × 146,757
  4. Step 4: Simplify right side
    68,622x = 21,537,617,049
  5. Step 5: Solve for x
    x = 21,537,617,049/68,622
  6. Step 6: Final answer
    x = 313,858.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.