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Finding the Third Proportional to 94,296 and 125,889

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Solution

The third proportional to 94,296 and 125,889 is: 168,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,296 : 125,889 = 125,889 : x
  2. Step 2: Convert to fraction form
    94,296/125,889 = 125,889/x
  3. Step 3: Cross multiply
    94,296x = 125,889 × 125,889
  4. Step 4: Simplify right side
    94,296x = 15,848,040,321
  5. Step 5: Solve for x
    x = 15,848,040,321/94,296
  6. Step 6: Final answer
    x = 168,066.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.