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Finding the Third Proportional to 41,069 and 94,586

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Solution

The third proportional to 41,069 and 94,586 is: 217,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,069 : 94,586 = 94,586 : x
  2. Step 2: Convert to fraction form
    41,069/94,586 = 94,586/x
  3. Step 3: Cross multiply
    41,069x = 94,586 × 94,586
  4. Step 4: Simplify right side
    41,069x = 8,946,511,396
  5. Step 5: Solve for x
    x = 8,946,511,396/41,069
  6. Step 6: Final answer
    x = 217,840.98

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.