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Finding the Third Proportional to 133,078 and 195,727

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Solution

The third proportional to 133,078 and 195,727 is: 287,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078 : 195,727 = 195,727 : x
  2. Step 2: Convert to fraction form
    133,078/195,727 = 195,727/x
  3. Step 3: Cross multiply
    133,078x = 195,727 × 195,727
  4. Step 4: Simplify right side
    133,078x = 38,309,058,529
  5. Step 5: Solve for x
    x = 38,309,058,529/133,078
  6. Step 6: Final answer
    x = 287,869.21

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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.