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Finding the Third Proportional to 135,936 and 195,804

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Solution

The third proportional to 135,936 and 195,804 is: 282,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,936 : 195,804 = 195,804 : x
  2. Step 2: Convert to fraction form
    135,936/195,804 = 195,804/x
  3. Step 3: Cross multiply
    135,936x = 195,804 × 195,804
  4. Step 4: Simplify right side
    135,936x = 38,339,206,416
  5. Step 5: Solve for x
    x = 38,339,206,416/135,936
  6. Step 6: Final answer
    x = 282,038.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.