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Finding the Third Proportional to 115,206.75 and 174,420

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Solution

The third proportional to 115,206.75 and 174,420 is: 264,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,206.75 : 174,420 = 174,420 : x
  2. Step 2: Convert to fraction form
    115,206.75/174,420 = 174,420/x
  3. Step 3: Cross multiply
    115,206.75x = 174,420 × 174,420
  4. Step 4: Simplify right side
    115,206.75x = 30,422,336,400
  5. Step 5: Solve for x
    x = 30,422,336,400/115,206.75
  6. Step 6: Final answer
    x = 264,067.31

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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.