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Finding the Third Proportional to 104,069 and 144,120

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Solution

The third proportional to 104,069 and 144,120 is: 199,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,069 : 144,120 = 144,120 : x
  2. Step 2: Convert to fraction form
    104,069/144,120 = 144,120/x
  3. Step 3: Cross multiply
    104,069x = 144,120 × 144,120
  4. Step 4: Simplify right side
    104,069x = 20,770,574,400
  5. Step 5: Solve for x
    x = 20,770,574,400/104,069
  6. Step 6: Final answer
    x = 199,584.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.