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Finding the Third Proportional to 43,257 and 95,907

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Solution

The third proportional to 43,257 and 95,907 is: 212,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,257 : 95,907 = 95,907 : x
  2. Step 2: Convert to fraction form
    43,257/95,907 = 95,907/x
  3. Step 3: Cross multiply
    43,257x = 95,907 × 95,907
  4. Step 4: Simplify right side
    43,257x = 9,198,152,649
  5. Step 5: Solve for x
    x = 9,198,152,649/43,257
  6. Step 6: Final answer
    x = 212,639.63

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.