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Finding the Third Proportional to 50,604.75 and 80,412.75

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Solution

The third proportional to 50,604.75 and 80,412.75 is: 127,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,604.75 : 80,412.75 = 80,412.75 : x
  2. Step 2: Convert to fraction form
    50,604.75/80,412.75 = 80,412.75/x
  3. Step 3: Cross multiply
    50,604.75x = 80,412.75 × 80,412.75
  4. Step 4: Simplify right side
    50,604.75x = 6,466,210,362.56
  5. Step 5: Solve for x
    x = 6,466,210,362.56/50,604.75
  6. Step 6: Final answer
    x = 127,778.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.