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Finding the Third Proportional to 115,678 and 174,975

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Solution

The third proportional to 115,678 and 174,975 is: 264,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,678 : 174,975 = 174,975 : x
  2. Step 2: Convert to fraction form
    115,678/174,975 = 174,975/x
  3. Step 3: Cross multiply
    115,678x = 174,975 × 174,975
  4. Step 4: Simplify right side
    115,678x = 30,616,250,625
  5. Step 5: Solve for x
    x = 30,616,250,625/115,678
  6. Step 6: Final answer
    x = 264,667.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.