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Finding the Third Proportional to 133,072 and 195,717

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Solution

The third proportional to 133,072 and 195,717 is: 287,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,072 : 195,717 = 195,717 : x
  2. Step 2: Convert to fraction form
    133,072/195,717 = 195,717/x
  3. Step 3: Cross multiply
    133,072x = 195,717 × 195,717
  4. Step 4: Simplify right side
    133,072x = 38,305,144,089
  5. Step 5: Solve for x
    x = 38,305,144,089/133,072
  6. Step 6: Final answer
    x = 287,852.77

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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.