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Finding the Third Proportional to 78,837 and 119,075

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Solution

The third proportional to 78,837 and 119,075 is: 179,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,837 : 119,075 = 119,075 : x
  2. Step 2: Convert to fraction form
    78,837/119,075 = 119,075/x
  3. Step 3: Cross multiply
    78,837x = 119,075 × 119,075
  4. Step 4: Simplify right side
    78,837x = 14,178,855,625
  5. Step 5: Solve for x
    x = 14,178,855,625/78,837
  6. Step 6: Final answer
    x = 179,850.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.