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Finding the Third Proportional to 55,789 and 122,634

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Solution

The third proportional to 55,789 and 122,634 is: 269,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,789 : 122,634 = 122,634 : x
  2. Step 2: Convert to fraction form
    55,789/122,634 = 122,634/x
  3. Step 3: Cross multiply
    55,789x = 122,634 × 122,634
  4. Step 4: Simplify right side
    55,789x = 15,039,097,956
  5. Step 5: Solve for x
    x = 15,039,097,956/55,789
  6. Step 6: Final answer
    x = 269,571.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.