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Finding the Third Proportional to 123,727.50 and 267,003

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Solution

The third proportional to 123,727.50 and 267,003 is: 576,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,727.50 : 267,003 = 267,003 : x
  2. Step 2: Convert to fraction form
    123,727.50/267,003 = 267,003/x
  3. Step 3: Cross multiply
    123,727.50x = 267,003 × 267,003
  4. Step 4: Simplify right side
    123,727.50x = 71,290,602,009
  5. Step 5: Solve for x
    x = 71,290,602,009/123,727.50
  6. Step 6: Final answer
    x = 576,190.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.