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Finding the Third Proportional to 46,958 and 110,738.75

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Solution

The third proportional to 46,958 and 110,738.75 is: 261,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,958 : 110,738.75 = 110,738.75 : x
  2. Step 2: Convert to fraction form
    46,958/110,738.75 = 110,738.75/x
  3. Step 3: Cross multiply
    46,958x = 110,738.75 × 110,738.75
  4. Step 4: Simplify right side
    46,958x = 12,263,070,751.56
  5. Step 5: Solve for x
    x = 12,263,070,751.56/46,958
  6. Step 6: Final answer
    x = 261,149.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.