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Finding the Third Proportional to 125,824 and 188,232

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Solution

The third proportional to 125,824 and 188,232 is: 281,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,824 : 188,232 = 188,232 : x
  2. Step 2: Convert to fraction form
    125,824/188,232 = 188,232/x
  3. Step 3: Cross multiply
    125,824x = 188,232 × 188,232
  4. Step 4: Simplify right side
    125,824x = 35,431,285,824
  5. Step 5: Solve for x
    x = 35,431,285,824/125,824
  6. Step 6: Final answer
    x = 281,594.02

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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.