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Finding the Third Proportional to 109,198.25 and 164,567

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Solution

The third proportional to 109,198.25 and 164,567 is: 248,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,198.25 : 164,567 = 164,567 : x
  2. Step 2: Convert to fraction form
    109,198.25/164,567 = 164,567/x
  3. Step 3: Cross multiply
    109,198.25x = 164,567 × 164,567
  4. Step 4: Simplify right side
    109,198.25x = 27,082,297,489
  5. Step 5: Solve for x
    x = 27,082,297,489/109,198.25
  6. Step 6: Final answer
    x = 248,010.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.