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Finding the Third Proportional to 106,996 and 166,416

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Solution

The third proportional to 106,996 and 166,416 is: 258,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,996 : 166,416 = 166,416 : x
  2. Step 2: Convert to fraction form
    106,996/166,416 = 166,416/x
  3. Step 3: Cross multiply
    106,996x = 166,416 × 166,416
  4. Step 4: Simplify right side
    106,996x = 27,694,285,056
  5. Step 5: Solve for x
    x = 27,694,285,056/106,996
  6. Step 6: Final answer
    x = 258,834.77

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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.