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Finding the Third Proportional to 50,206.50 and 104,575

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Solution

The third proportional to 50,206.50 and 104,575 is: 217,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206.50 : 104,575 = 104,575 : x
  2. Step 2: Convert to fraction form
    50,206.50/104,575 = 104,575/x
  3. Step 3: Cross multiply
    50,206.50x = 104,575 × 104,575
  4. Step 4: Simplify right side
    50,206.50x = 10,935,930,625
  5. Step 5: Solve for x
    x = 10,935,930,625/50,206.50
  6. Step 6: Final answer
    x = 217,819.02

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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.