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Finding the Third Proportional to 133,056 and 199,107

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Solution

The third proportional to 133,056 and 199,107 is: 297,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,056 : 199,107 = 199,107 : x
  2. Step 2: Convert to fraction form
    133,056/199,107 = 199,107/x
  3. Step 3: Cross multiply
    133,056x = 199,107 × 199,107
  4. Step 4: Simplify right side
    133,056x = 39,643,597,449
  5. Step 5: Solve for x
    x = 39,643,597,449/133,056
  6. Step 6: Final answer
    x = 297,946.71

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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.