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Finding the Third Proportional to 43,094 and 89,878

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Solution

The third proportional to 43,094 and 89,878 is: 187,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,094 : 89,878 = 89,878 : x
  2. Step 2: Convert to fraction form
    43,094/89,878 = 89,878/x
  3. Step 3: Cross multiply
    43,094x = 89,878 × 89,878
  4. Step 4: Simplify right side
    43,094x = 8,078,054,884
  5. Step 5: Solve for x
    x = 8,078,054,884/43,094
  6. Step 6: Final answer
    x = 187,451.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.