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Finding the Third Proportional to 46,760.25 and 100,167

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Solution

The third proportional to 46,760.25 and 100,167 is: 214,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,760.25 : 100,167 = 100,167 : x
  2. Step 2: Convert to fraction form
    46,760.25/100,167 = 100,167/x
  3. Step 3: Cross multiply
    46,760.25x = 100,167 × 100,167
  4. Step 4: Simplify right side
    46,760.25x = 10,033,427,889
  5. Step 5: Solve for x
    x = 10,033,427,889/46,760.25
  6. Step 6: Final answer
    x = 214,571.73

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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.