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Finding the Third Proportional to 43,398 and 94,481

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Solution

The third proportional to 43,398 and 94,481 is: 205,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,398 : 94,481 = 94,481 : x
  2. Step 2: Convert to fraction form
    43,398/94,481 = 94,481/x
  3. Step 3: Cross multiply
    43,398x = 94,481 × 94,481
  4. Step 4: Simplify right side
    43,398x = 8,926,659,361
  5. Step 5: Solve for x
    x = 8,926,659,361/43,398
  6. Step 6: Final answer
    x = 205,692.87

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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.