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Finding the Third Proportional to 69,185 and 104,414

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Solution

The third proportional to 69,185 and 104,414 is: 157,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,185 : 104,414 = 104,414 : x
  2. Step 2: Convert to fraction form
    69,185/104,414 = 104,414/x
  3. Step 3: Cross multiply
    69,185x = 104,414 × 104,414
  4. Step 4: Simplify right side
    69,185x = 10,902,283,396
  5. Step 5: Solve for x
    x = 10,902,283,396/69,185
  6. Step 6: Final answer
    x = 157,581.61

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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.