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Finding the Third Proportional to 144,940 and 166,812

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Solution

The third proportional to 144,940 and 166,812 is: 191,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,940 : 166,812 = 166,812 : x
  2. Step 2: Convert to fraction form
    144,940/166,812 = 166,812/x
  3. Step 3: Cross multiply
    144,940x = 166,812 × 166,812
  4. Step 4: Simplify right side
    144,940x = 27,826,243,344
  5. Step 5: Solve for x
    x = 27,826,243,344/144,940
  6. Step 6: Final answer
    x = 191,984.57

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.