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Finding the Third Proportional to 55,097 and 120,574

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Solution

The third proportional to 55,097 and 120,574 is: 263,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,097 : 120,574 = 120,574 : x
  2. Step 2: Convert to fraction form
    55,097/120,574 = 120,574/x
  3. Step 3: Cross multiply
    55,097x = 120,574 × 120,574
  4. Step 4: Simplify right side
    55,097x = 14,538,089,476
  5. Step 5: Solve for x
    x = 14,538,089,476/55,097
  6. Step 6: Final answer
    x = 263,863.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.