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Finding the Third Proportional to 74,743 and 111,050

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Solution

The third proportional to 74,743 and 111,050 is: 164,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,743 : 111,050 = 111,050 : x
  2. Step 2: Convert to fraction form
    74,743/111,050 = 111,050/x
  3. Step 3: Cross multiply
    74,743x = 111,050 × 111,050
  4. Step 4: Simplify right side
    74,743x = 12,332,102,500
  5. Step 5: Solve for x
    x = 12,332,102,500/74,743
  6. Step 6: Final answer
    x = 164,993.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.