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Finding the Third Proportional to 50,262.75 and 100,520.50

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Solution

The third proportional to 50,262.75 and 100,520.50 is: 201,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,262.75 : 100,520.50 = 100,520.50 : x
  2. Step 2: Convert to fraction form
    50,262.75/100,520.50 = 100,520.50/x
  3. Step 3: Cross multiply
    50,262.75x = 100,520.50 × 100,520.50
  4. Step 4: Simplify right side
    50,262.75x = 10,104,370,920.25
  5. Step 5: Solve for x
    x = 10,104,370,920.25/50,262.75
  6. Step 6: Final answer
    x = 201,031.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.