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Finding the Third Proportional to 136,956 and 192,303

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Solution

The third proportional to 136,956 and 192,303 is: 270,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,956 : 192,303 = 192,303 : x
  2. Step 2: Convert to fraction form
    136,956/192,303 = 192,303/x
  3. Step 3: Cross multiply
    136,956x = 192,303 × 192,303
  4. Step 4: Simplify right side
    136,956x = 36,980,443,809
  5. Step 5: Solve for x
    x = 36,980,443,809/136,956
  6. Step 6: Final answer
    x = 270,016.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.