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Finding the Third Proportional to 125,944.88 and 188,839.48

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Solution

The third proportional to 125,944.88 and 188,839.48 is: 283,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,944.88 : 188,839.48 = 188,839.48 : x
  2. Step 2: Convert to fraction form
    125,944.88/188,839.48 = 188,839.48/x
  3. Step 3: Cross multiply
    125,944.88x = 188,839.48 × 188,839.48
  4. Step 4: Simplify right side
    125,944.88x = 35,660,347,908.40
  5. Step 5: Solve for x
    x = 35,660,347,908.40/125,944.88
  6. Step 6: Final answer
    x = 283,142.51

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