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Finding the Third Proportional to 43,311 and 94,889

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Solution

The third proportional to 43,311 and 94,889 is: 207,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,311 : 94,889 = 94,889 : x
  2. Step 2: Convert to fraction form
    43,311/94,889 = 94,889/x
  3. Step 3: Cross multiply
    43,311x = 94,889 × 94,889
  4. Step 4: Simplify right side
    43,311x = 9,003,922,321
  5. Step 5: Solve for x
    x = 9,003,922,321/43,311
  6. Step 6: Final answer
    x = 207,889.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.