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Finding the Third Proportional to 90,406.50 and 189,075

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Solution

The third proportional to 90,406.50 and 189,075 is: 395,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,406.50 : 189,075 = 189,075 : x
  2. Step 2: Convert to fraction form
    90,406.50/189,075 = 189,075/x
  3. Step 3: Cross multiply
    90,406.50x = 189,075 × 189,075
  4. Step 4: Simplify right side
    90,406.50x = 35,749,355,625
  5. Step 5: Solve for x
    x = 35,749,355,625/90,406.50
  6. Step 6: Final answer
    x = 395,429.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.