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Finding the Third Proportional to 126,828 and 196,653

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Solution

The third proportional to 126,828 and 196,653 is: 304,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,828 : 196,653 = 196,653 : x
  2. Step 2: Convert to fraction form
    126,828/196,653 = 196,653/x
  3. Step 3: Cross multiply
    126,828x = 196,653 × 196,653
  4. Step 4: Simplify right side
    126,828x = 38,672,402,409
  5. Step 5: Solve for x
    x = 38,672,402,409/126,828
  6. Step 6: Final answer
    x = 304,920.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.