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Finding the Third Proportional to 55,173.38 and 122,838.75

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Solution

The third proportional to 55,173.38 and 122,838.75 is: 273,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,173.38 : 122,838.75 = 122,838.75 : x
  2. Step 2: Convert to fraction form
    55,173.38/122,838.75 = 122,838.75/x
  3. Step 3: Cross multiply
    55,173.38x = 122,838.75 × 122,838.75
  4. Step 4: Simplify right side
    55,173.38x = 15,089,358,501.56
  5. Step 5: Solve for x
    x = 15,089,358,501.56/55,173.38
  6. Step 6: Final answer
    x = 273,489.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.