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Finding the Third Proportional to 126,933.75 and 195,905.25

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Solution

The third proportional to 126,933.75 and 195,905.25 is: 302,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,933.75 : 195,905.25 = 195,905.25 : x
  2. Step 2: Convert to fraction form
    126,933.75/195,905.25 = 195,905.25/x
  3. Step 3: Cross multiply
    126,933.75x = 195,905.25 × 195,905.25
  4. Step 4: Simplify right side
    126,933.75x = 38,378,866,977.56
  5. Step 5: Solve for x
    x = 38,378,866,977.56/126,933.75
  6. Step 6: Final answer
    x = 302,353.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.