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Finding the Third Proportional to 106,144 and 144,230

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Solution

The third proportional to 106,144 and 144,230 is: 195,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,144 : 144,230 = 144,230 : x
  2. Step 2: Convert to fraction form
    106,144/144,230 = 144,230/x
  3. Step 3: Cross multiply
    106,144x = 144,230 × 144,230
  4. Step 4: Simplify right side
    106,144x = 20,802,292,900
  5. Step 5: Solve for x
    x = 20,802,292,900/106,144
  6. Step 6: Final answer
    x = 195,981.81

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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.