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Finding the Third Proportional to 74,204 and 113,766

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Solution

The third proportional to 74,204 and 113,766 is: 174,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,204 : 113,766 = 113,766 : x
  2. Step 2: Convert to fraction form
    74,204/113,766 = 113,766/x
  3. Step 3: Cross multiply
    74,204x = 113,766 × 113,766
  4. Step 4: Simplify right side
    74,204x = 12,942,702,756
  5. Step 5: Solve for x
    x = 12,942,702,756/74,204
  6. Step 6: Final answer
    x = 174,420.55

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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.