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Finding the Third Proportional to 48,014 and 104,638

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Solution

The third proportional to 48,014 and 104,638 is: 228,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,014 : 104,638 = 104,638 : x
  2. Step 2: Convert to fraction form
    48,014/104,638 = 104,638/x
  3. Step 3: Cross multiply
    48,014x = 104,638 × 104,638
  4. Step 4: Simplify right side
    48,014x = 10,949,111,044
  5. Step 5: Solve for x
    x = 10,949,111,044/48,014
  6. Step 6: Final answer
    x = 228,039.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.