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Finding the Third Proportional to 80,148 and 172,104

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Solution

The third proportional to 80,148 and 172,104 is: 369,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,148 : 172,104 = 172,104 : x
  2. Step 2: Convert to fraction form
    80,148/172,104 = 172,104/x
  3. Step 3: Cross multiply
    80,148x = 172,104 × 172,104
  4. Step 4: Simplify right side
    80,148x = 29,619,786,816
  5. Step 5: Solve for x
    x = 29,619,786,816/80,148
  6. Step 6: Final answer
    x = 369,563.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.