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Finding the Third Proportional to 73,977 and 104,676

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Solution

The third proportional to 73,977 and 104,676 is: 148,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,977 : 104,676 = 104,676 : x
  2. Step 2: Convert to fraction form
    73,977/104,676 = 104,676/x
  3. Step 3: Cross multiply
    73,977x = 104,676 × 104,676
  4. Step 4: Simplify right side
    73,977x = 10,957,064,976
  5. Step 5: Solve for x
    x = 10,957,064,976/73,977
  6. Step 6: Final answer
    x = 148,114.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.