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Finding the Third Proportional to 49,604 and 117,075

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Solution

The third proportional to 49,604 and 117,075 is: 276,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,604 : 117,075 = 117,075 : x
  2. Step 2: Convert to fraction form
    49,604/117,075 = 117,075/x
  3. Step 3: Cross multiply
    49,604x = 117,075 × 117,075
  4. Step 4: Simplify right side
    49,604x = 13,706,555,625
  5. Step 5: Solve for x
    x = 13,706,555,625/49,604
  6. Step 6: Final answer
    x = 276,319.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.