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Finding the Third Proportional to 123,993 and 270,129.50

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Solution

The third proportional to 123,993 and 270,129.50 is: 588,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,993 : 270,129.50 = 270,129.50 : x
  2. Step 2: Convert to fraction form
    123,993/270,129.50 = 270,129.50/x
  3. Step 3: Cross multiply
    123,993x = 270,129.50 × 270,129.50
  4. Step 4: Simplify right side
    123,993x = 72,969,946,770.25
  5. Step 5: Solve for x
    x = 72,969,946,770.25/123,993
  6. Step 6: Final answer
    x = 588,500.53

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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.