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Finding the Third Proportional to 46,832 and 100,248

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Solution

The third proportional to 46,832 and 100,248 is: 214,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,832 : 100,248 = 100,248 : x
  2. Step 2: Convert to fraction form
    46,832/100,248 = 100,248/x
  3. Step 3: Cross multiply
    46,832x = 100,248 × 100,248
  4. Step 4: Simplify right side
    46,832x = 10,049,661,504
  5. Step 5: Solve for x
    x = 10,049,661,504/46,832
  6. Step 6: Final answer
    x = 214,589.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.