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Finding the Third Proportional to 125,525 and 192,296

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Solution

The third proportional to 125,525 and 192,296 is: 294,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,525 : 192,296 = 192,296 : x
  2. Step 2: Convert to fraction form
    125,525/192,296 = 192,296/x
  3. Step 3: Cross multiply
    125,525x = 192,296 × 192,296
  4. Step 4: Simplify right side
    125,525x = 36,977,751,616
  5. Step 5: Solve for x
    x = 36,977,751,616/125,525
  6. Step 6: Final answer
    x = 294,584.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.