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Finding the Third Proportional to 110,031 and 166,100

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Solution

The third proportional to 110,031 and 166,100 is: 250,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,031 : 166,100 = 166,100 : x
  2. Step 2: Convert to fraction form
    110,031/166,100 = 166,100/x
  3. Step 3: Cross multiply
    110,031x = 166,100 × 166,100
  4. Step 4: Simplify right side
    110,031x = 27,589,210,000
  5. Step 5: Solve for x
    x = 27,589,210,000/110,031
  6. Step 6: Final answer
    x = 250,740.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.