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Finding the Third Proportional to 112,845 and 245,131

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Solution

The third proportional to 112,845 and 245,131 is: 532,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,845 : 245,131 = 245,131 : x
  2. Step 2: Convert to fraction form
    112,845/245,131 = 245,131/x
  3. Step 3: Cross multiply
    112,845x = 245,131 × 245,131
  4. Step 4: Simplify right side
    112,845x = 60,089,207,161
  5. Step 5: Solve for x
    x = 60,089,207,161/112,845
  6. Step 6: Final answer
    x = 532,493.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.