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Finding the Third Proportional to 55,409.50 and 122,483

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Solution

The third proportional to 55,409.50 and 122,483 is: 270,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,409.50 : 122,483 = 122,483 : x
  2. Step 2: Convert to fraction form
    55,409.50/122,483 = 122,483/x
  3. Step 3: Cross multiply
    55,409.50x = 122,483 × 122,483
  4. Step 4: Simplify right side
    55,409.50x = 15,002,085,289
  5. Step 5: Solve for x
    x = 15,002,085,289/55,409.50
  6. Step 6: Final answer
    x = 270,749.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.