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Finding the Third Proportional to 129,211 and 274,075

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Solution

The third proportional to 129,211 and 274,075 is: 581,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,211 : 274,075 = 274,075 : x
  2. Step 2: Convert to fraction form
    129,211/274,075 = 274,075/x
  3. Step 3: Cross multiply
    129,211x = 274,075 × 274,075
  4. Step 4: Simplify right side
    129,211x = 75,117,105,625
  5. Step 5: Solve for x
    x = 75,117,105,625/129,211
  6. Step 6: Final answer
    x = 581,352.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.