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Finding the Third Proportional to 126,036 and 195,149

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Solution

The third proportional to 126,036 and 195,149 is: 302,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,036 : 195,149 = 195,149 : x
  2. Step 2: Convert to fraction form
    126,036/195,149 = 195,149/x
  3. Step 3: Cross multiply
    126,036x = 195,149 × 195,149
  4. Step 4: Simplify right side
    126,036x = 38,083,132,201
  5. Step 5: Solve for x
    x = 38,083,132,201/126,036
  6. Step 6: Final answer
    x = 302,160.75

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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.