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Finding the Third Proportional to 126,452.25 and 190,513.69

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Solution

The third proportional to 126,452.25 and 190,513.69 is: 287,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,452.25 : 190,513.69 = 190,513.69 : x
  2. Step 2: Convert to fraction form
    126,452.25/190,513.69 = 190,513.69/x
  3. Step 3: Cross multiply
    126,452.25x = 190,513.69 × 190,513.69
  4. Step 4: Simplify right side
    126,452.25x = 36,295,465,124.85
  5. Step 5: Solve for x
    x = 36,295,465,124.85/126,452.25
  6. Step 6: Final answer
    x = 287,029.02

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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.