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Finding the Third Proportional to 74,652 and 111,930

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Solution

The third proportional to 74,652 and 111,930 is: 167,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,652 : 111,930 = 111,930 : x
  2. Step 2: Convert to fraction form
    74,652/111,930 = 111,930/x
  3. Step 3: Cross multiply
    74,652x = 111,930 × 111,930
  4. Step 4: Simplify right side
    74,652x = 12,528,324,900
  5. Step 5: Solve for x
    x = 12,528,324,900/74,652
  6. Step 6: Final answer
    x = 167,823.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.