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Finding the Third Proportional to 74,216 and 115,096

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Solution

The third proportional to 74,216 and 115,096 is: 178,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,216 : 115,096 = 115,096 : x
  2. Step 2: Convert to fraction form
    74,216/115,096 = 115,096/x
  3. Step 3: Cross multiply
    74,216x = 115,096 × 115,096
  4. Step 4: Simplify right side
    74,216x = 13,247,089,216
  5. Step 5: Solve for x
    x = 13,247,089,216/74,216
  6. Step 6: Final answer
    x = 178,493.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.