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Finding the Third Proportional to 50,621.75 and 80,056

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Solution

The third proportional to 50,621.75 and 80,056 is: 126,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,621.75 : 80,056 = 80,056 : x
  2. Step 2: Convert to fraction form
    50,621.75/80,056 = 80,056/x
  3. Step 3: Cross multiply
    50,621.75x = 80,056 × 80,056
  4. Step 4: Simplify right side
    50,621.75x = 6,408,963,136
  5. Step 5: Solve for x
    x = 6,408,963,136/50,621.75
  6. Step 6: Final answer
    x = 126,604.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.