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Finding the Third Proportional to 51,986 and 110,173

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Solution

The third proportional to 51,986 and 110,173 is: 233,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,986 : 110,173 = 110,173 : x
  2. Step 2: Convert to fraction form
    51,986/110,173 = 110,173/x
  3. Step 3: Cross multiply
    51,986x = 110,173 × 110,173
  4. Step 4: Simplify right side
    51,986x = 12,138,089,929
  5. Step 5: Solve for x
    x = 12,138,089,929/51,986
  6. Step 6: Final answer
    x = 233,487.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.