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Finding the Third Proportional to 106,104 and 144,186

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Solution

The third proportional to 106,104 and 144,186 is: 195,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,104 : 144,186 = 144,186 : x
  2. Step 2: Convert to fraction form
    106,104/144,186 = 144,186/x
  3. Step 3: Cross multiply
    106,104x = 144,186 × 144,186
  4. Step 4: Simplify right side
    106,104x = 20,789,602,596
  5. Step 5: Solve for x
    x = 20,789,602,596/106,104
  6. Step 6: Final answer
    x = 195,936.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.