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Finding the Third Proportional to 69,361 and 104,771

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Solution

The third proportional to 69,361 and 104,771 is: 158,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,361 : 104,771 = 104,771 : x
  2. Step 2: Convert to fraction form
    69,361/104,771 = 104,771/x
  3. Step 3: Cross multiply
    69,361x = 104,771 × 104,771
  4. Step 4: Simplify right side
    69,361x = 10,976,962,441
  5. Step 5: Solve for x
    x = 10,976,962,441/69,361
  6. Step 6: Final answer
    x = 158,258.42

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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.