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Finding the Third Proportional to 136,521 and 203,727

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Solution

The third proportional to 136,521 and 203,727 is: 304,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,521 : 203,727 = 203,727 : x
  2. Step 2: Convert to fraction form
    136,521/203,727 = 203,727/x
  3. Step 3: Cross multiply
    136,521x = 203,727 × 203,727
  4. Step 4: Simplify right side
    136,521x = 41,504,690,529
  5. Step 5: Solve for x
    x = 41,504,690,529/136,521
  6. Step 6: Final answer
    x = 304,016.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.