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Finding the Third Proportional to 74,147.25 and 114,906.75

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Solution

The third proportional to 74,147.25 and 114,906.75 is: 178,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,147.25 : 114,906.75 = 114,906.75 : x
  2. Step 2: Convert to fraction form
    74,147.25/114,906.75 = 114,906.75/x
  3. Step 3: Cross multiply
    74,147.25x = 114,906.75 × 114,906.75
  4. Step 4: Simplify right side
    74,147.25x = 13,203,561,195.56
  5. Step 5: Solve for x
    x = 13,203,561,195.56/74,147.25
  6. Step 6: Final answer
    x = 178,072.16

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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.