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Finding the Third Proportional to 51,170 and 110,116

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Solution

The third proportional to 51,170 and 110,116 is: 236,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,170 : 110,116 = 110,116 : x
  2. Step 2: Convert to fraction form
    51,170/110,116 = 110,116/x
  3. Step 3: Cross multiply
    51,170x = 110,116 × 110,116
  4. Step 4: Simplify right side
    51,170x = 12,125,533,456
  5. Step 5: Solve for x
    x = 12,125,533,456/51,170
  6. Step 6: Final answer
    x = 236,965.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.