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Finding the Third Proportional to 110,112 and 166,200

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Solution

The third proportional to 110,112 and 166,200 is: 250,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,112 : 166,200 = 166,200 : x
  2. Step 2: Convert to fraction form
    110,112/166,200 = 166,200/x
  3. Step 3: Cross multiply
    110,112x = 166,200 × 166,200
  4. Step 4: Simplify right side
    110,112x = 27,622,440,000
  5. Step 5: Solve for x
    x = 27,622,440,000/110,112
  6. Step 6: Final answer
    x = 250,857.67

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