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Finding the Third Proportional to 51,811 and 110,731

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Solution

The third proportional to 51,811 and 110,731 is: 236,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811 : 110,731 = 110,731 : x
  2. Step 2: Convert to fraction form
    51,811/110,731 = 110,731/x
  3. Step 3: Cross multiply
    51,811x = 110,731 × 110,731
  4. Step 4: Simplify right side
    51,811x = 12,261,354,361
  5. Step 5: Solve for x
    x = 12,261,354,361/51,811
  6. Step 6: Final answer
    x = 236,655.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.