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Finding the Third Proportional to 50,869 and 80,611

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Solution

The third proportional to 50,869 and 80,611 is: 127,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,869 : 80,611 = 80,611 : x
  2. Step 2: Convert to fraction form
    50,869/80,611 = 80,611/x
  3. Step 3: Cross multiply
    50,869x = 80,611 × 80,611
  4. Step 4: Simplify right side
    50,869x = 6,498,133,321
  5. Step 5: Solve for x
    x = 6,498,133,321/50,869
  6. Step 6: Final answer
    x = 127,742.50

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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.