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Finding the Third Proportional to 48,406 and 77,075

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Solution

The third proportional to 48,406 and 77,075 is: 122,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,406 : 77,075 = 77,075 : x
  2. Step 2: Convert to fraction form
    48,406/77,075 = 77,075/x
  3. Step 3: Cross multiply
    48,406x = 77,075 × 77,075
  4. Step 4: Simplify right side
    48,406x = 5,940,555,625
  5. Step 5: Solve for x
    x = 5,940,555,625/48,406
  6. Step 6: Final answer
    x = 122,723.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.