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Finding the Third Proportional to 133,993.50 and 283,539

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Solution

The third proportional to 133,993.50 and 283,539 is: 599,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,993.50 : 283,539 = 283,539 : x
  2. Step 2: Convert to fraction form
    133,993.50/283,539 = 283,539/x
  3. Step 3: Cross multiply
    133,993.50x = 283,539 × 283,539
  4. Step 4: Simplify right side
    133,993.50x = 80,394,364,521
  5. Step 5: Solve for x
    x = 80,394,364,521/133,993.50
  6. Step 6: Final answer
    x = 599,987.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.