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Finding the Third Proportional to 125,828 and 196,356

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Solution

The third proportional to 125,828 and 196,356 is: 306,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,828 : 196,356 = 196,356 : x
  2. Step 2: Convert to fraction form
    125,828/196,356 = 196,356/x
  3. Step 3: Cross multiply
    125,828x = 196,356 × 196,356
  4. Step 4: Simplify right side
    125,828x = 38,555,678,736
  5. Step 5: Solve for x
    x = 38,555,678,736/125,828
  6. Step 6: Final answer
    x = 306,415.73

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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.