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Finding the Third Proportional to 55,591.75 and 122,254

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Solution

The third proportional to 55,591.75 and 122,254 is: 268,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,591.75 : 122,254 = 122,254 : x
  2. Step 2: Convert to fraction form
    55,591.75/122,254 = 122,254/x
  3. Step 3: Cross multiply
    55,591.75x = 122,254 × 122,254
  4. Step 4: Simplify right side
    55,591.75x = 14,946,040,516
  5. Step 5: Solve for x
    x = 14,946,040,516/55,591.75
  6. Step 6: Final answer
    x = 268,853.57

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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.