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Finding the Third Proportional to 106,956 and 166,284

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Solution

The third proportional to 106,956 and 166,284 is: 258,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,956 : 166,284 = 166,284 : x
  2. Step 2: Convert to fraction form
    106,956/166,284 = 166,284/x
  3. Step 3: Cross multiply
    106,956x = 166,284 × 166,284
  4. Step 4: Simplify right side
    106,956x = 27,650,368,656
  5. Step 5: Solve for x
    x = 27,650,368,656/106,956
  6. Step 6: Final answer
    x = 258,520.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.