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Finding the Third Proportional to 123,792 and 270,000

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Solution

The third proportional to 123,792 and 270,000 is: 588,891.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,792 : 270,000 = 270,000 : x
  2. Step 2: Convert to fraction form
    123,792/270,000 = 270,000/x
  3. Step 3: Cross multiply
    123,792x = 270,000 × 270,000
  4. Step 4: Simplify right side
    123,792x = 72,900,000,000
  5. Step 5: Solve for x
    x = 72,900,000,000/123,792
  6. Step 6: Final answer
    x = 588,891.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.