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Finding the Third Proportional to 43,263 and 95,855

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Solution

The third proportional to 43,263 and 95,855 is: 212,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,263 : 95,855 = 95,855 : x
  2. Step 2: Convert to fraction form
    43,263/95,855 = 95,855/x
  3. Step 3: Cross multiply
    43,263x = 95,855 × 95,855
  4. Step 4: Simplify right side
    43,263x = 9,188,181,025
  5. Step 5: Solve for x
    x = 9,188,181,025/43,263
  6. Step 6: Final answer
    x = 212,379.66

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Why These Related Problems?

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