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Finding the Third Proportional to 43,242 and 94,054

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Solution

The third proportional to 43,242 and 94,054 is: 204,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,242 : 94,054 = 94,054 : x
  2. Step 2: Convert to fraction form
    43,242/94,054 = 94,054/x
  3. Step 3: Cross multiply
    43,242x = 94,054 × 94,054
  4. Step 4: Simplify right side
    43,242x = 8,846,154,916
  5. Step 5: Solve for x
    x = 8,846,154,916/43,242
  6. Step 6: Final answer
    x = 204,573.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.