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Finding the Third Proportional to 109,006 and 166,677

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Solution

The third proportional to 109,006 and 166,677 is: 254,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,006 : 166,677 = 166,677 : x
  2. Step 2: Convert to fraction form
    109,006/166,677 = 166,677/x
  3. Step 3: Cross multiply
    109,006x = 166,677 × 166,677
  4. Step 4: Simplify right side
    109,006x = 27,781,222,329
  5. Step 5: Solve for x
    x = 27,781,222,329/109,006
  6. Step 6: Final answer
    x = 254,859.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.