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Finding the Third Proportional to 106,102 and 144,183

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Solution

The third proportional to 106,102 and 144,183 is: 195,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,102 : 144,183 = 144,183 : x
  2. Step 2: Convert to fraction form
    106,102/144,183 = 144,183/x
  3. Step 3: Cross multiply
    106,102x = 144,183 × 144,183
  4. Step 4: Simplify right side
    106,102x = 20,788,737,489
  5. Step 5: Solve for x
    x = 20,788,737,489/106,102
  6. Step 6: Final answer
    x = 195,931.63

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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.