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Finding the Third Proportional to 48,422 and 104,494

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Solution

The third proportional to 48,422 and 104,494 is: 225,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,422 : 104,494 = 104,494 : x
  2. Step 2: Convert to fraction form
    48,422/104,494 = 104,494/x
  3. Step 3: Cross multiply
    48,422x = 104,494 × 104,494
  4. Step 4: Simplify right side
    48,422x = 10,918,996,036
  5. Step 5: Solve for x
    x = 10,918,996,036/48,422
  6. Step 6: Final answer
    x = 225,496.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.