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Finding the Third Proportional to 133,845.75 and 197,067.94

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Solution

The third proportional to 133,845.75 and 197,067.94 is: 290,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,845.75 : 197,067.94 = 197,067.94 : x
  2. Step 2: Convert to fraction form
    133,845.75/197,067.94 = 197,067.94/x
  3. Step 3: Cross multiply
    133,845.75x = 197,067.94 × 197,067.94
  4. Step 4: Simplify right side
    133,845.75x = 38,835,771,990.50
  5. Step 5: Solve for x
    x = 38,835,771,990.50/133,845.75
  6. Step 6: Final answer
    x = 290,153.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.