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Finding the Third Proportional to 50,206.50 and 108,678.75

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Solution

The third proportional to 50,206.50 and 108,678.75 is: 235,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206.50 : 108,678.75 = 108,678.75 : x
  2. Step 2: Convert to fraction form
    50,206.50/108,678.75 = 108,678.75/x
  3. Step 3: Cross multiply
    50,206.50x = 108,678.75 × 108,678.75
  4. Step 4: Simplify right side
    50,206.50x = 11,811,070,701.56
  5. Step 5: Solve for x
    x = 11,811,070,701.56/50,206.50
  6. Step 6: Final answer
    x = 235,249.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.