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Finding the Third Proportional to 46,110 and 107,979

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Solution

The third proportional to 46,110 and 107,979 is: 252,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,110 : 107,979 = 107,979 : x
  2. Step 2: Convert to fraction form
    46,110/107,979 = 107,979/x
  3. Step 3: Cross multiply
    46,110x = 107,979 × 107,979
  4. Step 4: Simplify right side
    46,110x = 11,659,464,441
  5. Step 5: Solve for x
    x = 11,659,464,441/46,110
  6. Step 6: Final answer
    x = 252,861.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.