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Finding the Third Proportional to 43,393 and 94,706

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Solution

The third proportional to 43,393 and 94,706 is: 206,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,393 : 94,706 = 94,706 : x
  2. Step 2: Convert to fraction form
    43,393/94,706 = 94,706/x
  3. Step 3: Cross multiply
    43,393x = 94,706 × 94,706
  4. Step 4: Simplify right side
    43,393x = 8,969,226,436
  5. Step 5: Solve for x
    x = 8,969,226,436/43,393
  6. Step 6: Final answer
    x = 206,697.54

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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.