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Finding the Third Proportional to 31,194 and 66,284

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Solution

The third proportional to 31,194 and 66,284 is: 140,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194 : 66,284 = 66,284 : x
  2. Step 2: Convert to fraction form
    31,194/66,284 = 66,284/x
  3. Step 3: Cross multiply
    31,194x = 66,284 × 66,284
  4. Step 4: Simplify right side
    31,194x = 4,393,568,656
  5. Step 5: Solve for x
    x = 4,393,568,656/31,194
  6. Step 6: Final answer
    x = 140,846.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.