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Finding the Third Proportional to 50,803 and 110,081

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Solution

The third proportional to 50,803 and 110,081 is: 238,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,803 : 110,081 = 110,081 : x
  2. Step 2: Convert to fraction form
    50,803/110,081 = 110,081/x
  3. Step 3: Cross multiply
    50,803x = 110,081 × 110,081
  4. Step 4: Simplify right side
    50,803x = 12,117,826,561
  5. Step 5: Solve for x
    x = 12,117,826,561/50,803
  6. Step 6: Final answer
    x = 238,525.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.