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Finding the Third Proportional to 110,668 and 166,112

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Solution

The third proportional to 110,668 and 166,112 is: 249,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,668 : 166,112 = 166,112 : x
  2. Step 2: Convert to fraction form
    110,668/166,112 = 166,112/x
  3. Step 3: Cross multiply
    110,668x = 166,112 × 166,112
  4. Step 4: Simplify right side
    110,668x = 27,593,196,544
  5. Step 5: Solve for x
    x = 27,593,196,544/110,668
  6. Step 6: Final answer
    x = 249,333.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.