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Finding the Third Proportional to 47,632 and 104,720

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Solution

The third proportional to 47,632 and 104,720 is: 230,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,632 : 104,720 = 104,720 : x
  2. Step 2: Convert to fraction form
    47,632/104,720 = 104,720/x
  3. Step 3: Cross multiply
    47,632x = 104,720 × 104,720
  4. Step 4: Simplify right side
    47,632x = 10,966,278,400
  5. Step 5: Solve for x
    x = 10,966,278,400/47,632
  6. Step 6: Final answer
    x = 230,229.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.