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Finding the Third Proportional to 35,562 and 82,119

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Solution

The third proportional to 35,562 and 82,119 is: 189,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,562 : 82,119 = 82,119 : x
  2. Step 2: Convert to fraction form
    35,562/82,119 = 82,119/x
  3. Step 3: Cross multiply
    35,562x = 82,119 × 82,119
  4. Step 4: Simplify right side
    35,562x = 6,743,530,161
  5. Step 5: Solve for x
    x = 6,743,530,161/35,562
  6. Step 6: Final answer
    x = 189,627.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.