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Finding the Third Proportional to 41,654 and 91,075

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Solution

The third proportional to 41,654 and 91,075 is: 199,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,654 : 91,075 = 91,075 : x
  2. Step 2: Convert to fraction form
    41,654/91,075 = 91,075/x
  3. Step 3: Cross multiply
    41,654x = 91,075 × 91,075
  4. Step 4: Simplify right side
    41,654x = 8,294,655,625
  5. Step 5: Solve for x
    x = 8,294,655,625/41,654
  6. Step 6: Final answer
    x = 199,132.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.