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Finding the Third Proportional to 47,636 and 104,728

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Solution

The third proportional to 47,636 and 104,728 is: 230,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,636 : 104,728 = 104,728 : x
  2. Step 2: Convert to fraction form
    47,636/104,728 = 104,728/x
  3. Step 3: Cross multiply
    47,636x = 104,728 × 104,728
  4. Step 4: Simplify right side
    47,636x = 10,967,953,984
  5. Step 5: Solve for x
    x = 10,967,953,984/47,636
  6. Step 6: Final answer
    x = 230,245.07

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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.