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Finding the Third Proportional to 106,097 and 144,177

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Solution

The third proportional to 106,097 and 144,177 is: 195,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,097 : 144,177 = 144,177 : x
  2. Step 2: Convert to fraction form
    106,097/144,177 = 144,177/x
  3. Step 3: Cross multiply
    106,097x = 144,177 × 144,177
  4. Step 4: Simplify right side
    106,097x = 20,787,007,329
  5. Step 5: Solve for x
    x = 20,787,007,329/106,097
  6. Step 6: Final answer
    x = 195,924.55

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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.