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Finding the Third Proportional to 69,224 and 108,449

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Solution

The third proportional to 69,224 and 108,449 is: 169,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,224 : 108,449 = 108,449 : x
  2. Step 2: Convert to fraction form
    69,224/108,449 = 108,449/x
  3. Step 3: Cross multiply
    69,224x = 108,449 × 108,449
  4. Step 4: Simplify right side
    69,224x = 11,761,185,601
  5. Step 5: Solve for x
    x = 11,761,185,601/69,224
  6. Step 6: Final answer
    x = 169,900.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.