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Finding the Third Proportional to 125,945.50 and 188,840.25

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Solution

The third proportional to 125,945.50 and 188,840.25 is: 283,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,945.50 : 188,840.25 = 188,840.25 : x
  2. Step 2: Convert to fraction form
    125,945.50/188,840.25 = 188,840.25/x
  3. Step 3: Cross multiply
    125,945.50x = 188,840.25 × 188,840.25
  4. Step 4: Simplify right side
    125,945.50x = 35,660,640,020.06
  5. Step 5: Solve for x
    x = 35,660,640,020.06/125,945.50
  6. Step 6: Final answer
    x = 283,143.42

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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.