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Finding the Third Proportional to 73,256 and 140,676

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Solution

The third proportional to 73,256 and 140,676 is: 270,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,256 : 140,676 = 140,676 : x
  2. Step 2: Convert to fraction form
    73,256/140,676 = 140,676/x
  3. Step 3: Cross multiply
    73,256x = 140,676 × 140,676
  4. Step 4: Simplify right side
    73,256x = 19,789,736,976
  5. Step 5: Solve for x
    x = 19,789,736,976/73,256
  6. Step 6: Final answer
    x = 270,144.93

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.