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Finding the Third Proportional to 133,052 and 199,101

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Solution

The third proportional to 133,052 and 199,101 is: 297,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,052 : 199,101 = 199,101 : x
  2. Step 2: Convert to fraction form
    133,052/199,101 = 199,101/x
  3. Step 3: Cross multiply
    133,052x = 199,101 × 199,101
  4. Step 4: Simplify right side
    133,052x = 39,641,208,201
  5. Step 5: Solve for x
    x = 39,641,208,201/133,052
  6. Step 6: Final answer
    x = 297,937.71

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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.