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Finding the Third Proportional to 106,601 and 146,455

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Solution

The third proportional to 106,601 and 146,455 is: 201,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,601 : 146,455 = 146,455 : x
  2. Step 2: Convert to fraction form
    106,601/146,455 = 146,455/x
  3. Step 3: Cross multiply
    106,601x = 146,455 × 146,455
  4. Step 4: Simplify right side
    106,601x = 21,449,067,025
  5. Step 5: Solve for x
    x = 21,449,067,025/106,601
  6. Step 6: Final answer
    x = 201,208.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.