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Finding the Third Proportional to 106,956 and 166,350

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Solution

The third proportional to 106,956 and 166,350 is: 258,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,956 : 166,350 = 166,350 : x
  2. Step 2: Convert to fraction form
    106,956/166,350 = 166,350/x
  3. Step 3: Cross multiply
    106,956x = 166,350 × 166,350
  4. Step 4: Simplify right side
    106,956x = 27,672,322,500
  5. Step 5: Solve for x
    x = 27,672,322,500/106,956
  6. Step 6: Final answer
    x = 258,726.23

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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.