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Finding the Third Proportional to 106,876 and 166,784

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Solution

The third proportional to 106,876 and 166,784 is: 260,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,876 : 166,784 = 166,784 : x
  2. Step 2: Convert to fraction form
    106,876/166,784 = 166,784/x
  3. Step 3: Cross multiply
    106,876x = 166,784 × 166,784
  4. Step 4: Simplify right side
    106,876x = 27,816,902,656
  5. Step 5: Solve for x
    x = 27,816,902,656/106,876
  6. Step 6: Final answer
    x = 260,272.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.