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Finding the Third Proportional to 74,198 and 113,751

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Solution

The third proportional to 74,198 and 113,751 is: 174,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,198 : 113,751 = 113,751 : x
  2. Step 2: Convert to fraction form
    74,198/113,751 = 113,751/x
  3. Step 3: Cross multiply
    74,198x = 113,751 × 113,751
  4. Step 4: Simplify right side
    74,198x = 12,939,290,001
  5. Step 5: Solve for x
    x = 12,939,290,001/74,198
  6. Step 6: Final answer
    x = 174,388.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.