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Finding the Third Proportional to 125,976.75 and 196,635

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Solution

The third proportional to 125,976.75 and 196,635 is: 306,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,976.75 : 196,635 = 196,635 : x
  2. Step 2: Convert to fraction form
    125,976.75/196,635 = 196,635/x
  3. Step 3: Cross multiply
    125,976.75x = 196,635 × 196,635
  4. Step 4: Simplify right side
    125,976.75x = 38,665,323,225
  5. Step 5: Solve for x
    x = 38,665,323,225/125,976.75
  6. Step 6: Final answer
    x = 306,924.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.