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Finding the Third Proportional to 48,879 and 105,777

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Solution

The third proportional to 48,879 and 105,777 is: 228,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,879 : 105,777 = 105,777 : x
  2. Step 2: Convert to fraction form
    48,879/105,777 = 105,777/x
  3. Step 3: Cross multiply
    48,879x = 105,777 × 105,777
  4. Step 4: Simplify right side
    48,879x = 11,188,773,729
  5. Step 5: Solve for x
    x = 11,188,773,729/48,879
  6. Step 6: Final answer
    x = 228,907.58

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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.