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Finding the Third Proportional to 43,294 and 94,529

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Solution

The third proportional to 43,294 and 94,529 is: 206,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,294 : 94,529 = 94,529 : x
  2. Step 2: Convert to fraction form
    43,294/94,529 = 94,529/x
  3. Step 3: Cross multiply
    43,294x = 94,529 × 94,529
  4. Step 4: Simplify right side
    43,294x = 8,935,731,841
  5. Step 5: Solve for x
    x = 8,935,731,841/43,294
  6. Step 6: Final answer
    x = 206,396.54

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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.