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Finding the Third Proportional to 111,008 and 166,512

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Solution

The third proportional to 111,008 and 166,512 is: 249,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,008 : 166,512 = 166,512 : x
  2. Step 2: Convert to fraction form
    111,008/166,512 = 166,512/x
  3. Step 3: Cross multiply
    111,008x = 166,512 × 166,512
  4. Step 4: Simplify right side
    111,008x = 27,726,246,144
  5. Step 5: Solve for x
    x = 27,726,246,144/111,008
  6. Step 6: Final answer
    x = 249,768

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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.