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Finding the Third Proportional to 48,832 and 104,576

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Solution

The third proportional to 48,832 and 104,576 is: 223,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,832 : 104,576 = 104,576 : x
  2. Step 2: Convert to fraction form
    48,832/104,576 = 104,576/x
  3. Step 3: Cross multiply
    48,832x = 104,576 × 104,576
  4. Step 4: Simplify right side
    48,832x = 10,936,139,776
  5. Step 5: Solve for x
    x = 10,936,139,776/48,832
  6. Step 6: Final answer
    x = 223,954.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.