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Finding the Third Proportional to 125,493 and 188,520

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Solution

The third proportional to 125,493 and 188,520 is: 283,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,493 : 188,520 = 188,520 : x
  2. Step 2: Convert to fraction form
    125,493/188,520 = 188,520/x
  3. Step 3: Cross multiply
    125,493x = 188,520 × 188,520
  4. Step 4: Simplify right side
    125,493x = 35,539,790,400
  5. Step 5: Solve for x
    x = 35,539,790,400/125,493
  6. Step 6: Final answer
    x = 283,201.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.