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Finding the Third Proportional to 123,022.50 and 267,367.50

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Solution

The third proportional to 123,022.50 and 267,367.50 is: 581,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,022.50 : 267,367.50 = 267,367.50 : x
  2. Step 2: Convert to fraction form
    123,022.50/267,367.50 = 267,367.50/x
  3. Step 3: Cross multiply
    123,022.50x = 267,367.50 × 267,367.50
  4. Step 4: Simplify right side
    123,022.50x = 71,485,380,056.25
  5. Step 5: Solve for x
    x = 71,485,380,056.25/123,022.50
  6. Step 6: Final answer
    x = 581,075.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.