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Finding the Third Proportional to 125,170 and 188,816

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Solution

The third proportional to 125,170 and 188,816 is: 284,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,170 : 188,816 = 188,816 : x
  2. Step 2: Convert to fraction form
    125,170/188,816 = 188,816/x
  3. Step 3: Cross multiply
    125,170x = 188,816 × 188,816
  4. Step 4: Simplify right side
    125,170x = 35,651,481,856
  5. Step 5: Solve for x
    x = 35,651,481,856/125,170
  6. Step 6: Final answer
    x = 284,824.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.