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Finding the Third Proportional to 48,756 and 104,910

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Solution

The third proportional to 48,756 and 104,910 is: 225,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,756 : 104,910 = 104,910 : x
  2. Step 2: Convert to fraction form
    48,756/104,910 = 104,910/x
  3. Step 3: Cross multiply
    48,756x = 104,910 × 104,910
  4. Step 4: Simplify right side
    48,756x = 11,006,108,100
  5. Step 5: Solve for x
    x = 11,006,108,100/48,756
  6. Step 6: Final answer
    x = 225,738.54

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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.