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Finding the Third Proportional to 50,738 and 80,805

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Solution

The third proportional to 50,738 and 80,805 is: 128,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,738 : 80,805 = 80,805 : x
  2. Step 2: Convert to fraction form
    50,738/80,805 = 80,805/x
  3. Step 3: Cross multiply
    50,738x = 80,805 × 80,805
  4. Step 4: Simplify right side
    50,738x = 6,529,448,025
  5. Step 5: Solve for x
    x = 6,529,448,025/50,738
  6. Step 6: Final answer
    x = 128,689.50

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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.