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Finding the Third Proportional to 45,296 and 96,073

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Solution

The third proportional to 45,296 and 96,073 is: 203,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,296 : 96,073 = 96,073 : x
  2. Step 2: Convert to fraction form
    45,296/96,073 = 96,073/x
  3. Step 3: Cross multiply
    45,296x = 96,073 × 96,073
  4. Step 4: Simplify right side
    45,296x = 9,230,021,329
  5. Step 5: Solve for x
    x = 9,230,021,329/45,296
  6. Step 6: Final answer
    x = 203,771.22

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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.