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Finding the Third Proportional to 94,518 and 204,075

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Solution

The third proportional to 94,518 and 204,075 is: 440,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,518 : 204,075 = 204,075 : x
  2. Step 2: Convert to fraction form
    94,518/204,075 = 204,075/x
  3. Step 3: Cross multiply
    94,518x = 204,075 × 204,075
  4. Step 4: Simplify right side
    94,518x = 41,646,605,625
  5. Step 5: Solve for x
    x = 41,646,605,625/94,518
  6. Step 6: Final answer
    x = 440,620.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.