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Finding the Third Proportional to 50,202 and 104,562

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Solution

The third proportional to 50,202 and 104,562 is: 217,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,202 : 104,562 = 104,562 : x
  2. Step 2: Convert to fraction form
    50,202/104,562 = 104,562/x
  3. Step 3: Cross multiply
    50,202x = 104,562 × 104,562
  4. Step 4: Simplify right side
    50,202x = 10,933,211,844
  5. Step 5: Solve for x
    x = 10,933,211,844/50,202
  6. Step 6: Final answer
    x = 217,784.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.