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Finding the Third Proportional to 69,616 and 104,120

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Solution

The third proportional to 69,616 and 104,120 is: 155,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,616 : 104,120 = 104,120 : x
  2. Step 2: Convert to fraction form
    69,616/104,120 = 104,120/x
  3. Step 3: Cross multiply
    69,616x = 104,120 × 104,120
  4. Step 4: Simplify right side
    69,616x = 10,840,974,400
  5. Step 5: Solve for x
    x = 10,840,974,400/69,616
  6. Step 6: Final answer
    x = 155,725.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.