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Finding the Third Proportional to 46,879 and 104,125

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Solution

The third proportional to 46,879 and 104,125 is: 231,276.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,879 : 104,125 = 104,125 : x
  2. Step 2: Convert to fraction form
    46,879/104,125 = 104,125/x
  3. Step 3: Cross multiply
    46,879x = 104,125 × 104,125
  4. Step 4: Simplify right side
    46,879x = 10,842,015,625
  5. Step 5: Solve for x
    x = 10,842,015,625/46,879
  6. Step 6: Final answer
    x = 231,276.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.