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Finding the Third Proportional to 48,578 and 104,606

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Solution

The third proportional to 48,578 and 104,606 is: 225,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,578 : 104,606 = 104,606 : x
  2. Step 2: Convert to fraction form
    48,578/104,606 = 104,606/x
  3. Step 3: Cross multiply
    48,578x = 104,606 × 104,606
  4. Step 4: Simplify right side
    48,578x = 10,942,415,236
  5. Step 5: Solve for x
    x = 10,942,415,236/48,578
  6. Step 6: Final answer
    x = 225,254.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.