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Finding the Third Proportional to 133,043 and 199,039

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Solution

The third proportional to 133,043 and 199,039 is: 297,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043 : 199,039 = 199,039 : x
  2. Step 2: Convert to fraction form
    133,043/199,039 = 199,039/x
  3. Step 3: Cross multiply
    133,043x = 199,039 × 199,039
  4. Step 4: Simplify right side
    133,043x = 39,616,523,521
  5. Step 5: Solve for x
    x = 39,616,523,521/133,043
  6. Step 6: Final answer
    x = 297,772.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.