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Finding the Third Proportional to 106,469 and 166,940

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Solution

The third proportional to 106,469 and 166,940 is: 261,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,469 : 166,940 = 166,940 : x
  2. Step 2: Convert to fraction form
    106,469/166,940 = 166,940/x
  3. Step 3: Cross multiply
    106,469x = 166,940 × 166,940
  4. Step 4: Simplify right side
    106,469x = 27,868,963,600
  5. Step 5: Solve for x
    x = 27,868,963,600/106,469
  6. Step 6: Final answer
    x = 261,756.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.