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Finding the Third Proportional to 98,184 and 150,131

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Solution

The third proportional to 98,184 and 150,131 is: 229,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,184 : 150,131 = 150,131 : x
  2. Step 2: Convert to fraction form
    98,184/150,131 = 150,131/x
  3. Step 3: Cross multiply
    98,184x = 150,131 × 150,131
  4. Step 4: Simplify right side
    98,184x = 22,539,317,161
  5. Step 5: Solve for x
    x = 22,539,317,161/98,184
  6. Step 6: Final answer
    x = 229,562.02

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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.