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Finding the Third Proportional to 98,190 and 150,142

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Solution

The third proportional to 98,190 and 150,142 is: 229,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,190 : 150,142 = 150,142 : x
  2. Step 2: Convert to fraction form
    98,190/150,142 = 150,142/x
  3. Step 3: Cross multiply
    98,190x = 150,142 × 150,142
  4. Step 4: Simplify right side
    98,190x = 22,542,620,164
  5. Step 5: Solve for x
    x = 22,542,620,164/98,190
  6. Step 6: Final answer
    x = 229,581.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.