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Finding the Third Proportional to 104,962 and 166,195

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Solution

The third proportional to 104,962 and 166,195 is: 263,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,962 : 166,195 = 166,195 : x
  2. Step 2: Convert to fraction form
    104,962/166,195 = 166,195/x
  3. Step 3: Cross multiply
    104,962x = 166,195 × 166,195
  4. Step 4: Simplify right side
    104,962x = 27,620,778,025
  5. Step 5: Solve for x
    x = 27,620,778,025/104,962
  6. Step 6: Final answer
    x = 263,150.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.