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Finding the Third Proportional to 43,328 and 94,000

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Solution

The third proportional to 43,328 and 94,000 is: 203,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,328 : 94,000 = 94,000 : x
  2. Step 2: Convert to fraction form
    43,328/94,000 = 94,000/x
  3. Step 3: Cross multiply
    43,328x = 94,000 × 94,000
  4. Step 4: Simplify right side
    43,328x = 8,836,000,000
  5. Step 5: Solve for x
    x = 8,836,000,000/43,328
  6. Step 6: Final answer
    x = 203,932.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.