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Finding the Third Proportional to 101,223 and 144,195

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Solution

The third proportional to 101,223 and 144,195 is: 205,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,223 : 144,195 = 144,195 : x
  2. Step 2: Convert to fraction form
    101,223/144,195 = 144,195/x
  3. Step 3: Cross multiply
    101,223x = 144,195 × 144,195
  4. Step 4: Simplify right side
    101,223x = 20,792,198,025
  5. Step 5: Solve for x
    x = 20,792,198,025/101,223
  6. Step 6: Final answer
    x = 205,409.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.