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Finding the Third Proportional to 36,128 and 73,760

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Solution

The third proportional to 36,128 and 73,760 is: 150,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,128 : 73,760 = 73,760 : x
  2. Step 2: Convert to fraction form
    36,128/73,760 = 73,760/x
  3. Step 3: Cross multiply
    36,128x = 73,760 × 73,760
  4. Step 4: Simplify right side
    36,128x = 5,440,537,600
  5. Step 5: Solve for x
    x = 5,440,537,600/36,128
  6. Step 6: Final answer
    x = 150,590.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.