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Finding the Third Proportional to 79,026 and 171,173

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Solution

The third proportional to 79,026 and 171,173 is: 370,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,026 : 171,173 = 171,173 : x
  2. Step 2: Convert to fraction form
    79,026/171,173 = 171,173/x
  3. Step 3: Cross multiply
    79,026x = 171,173 × 171,173
  4. Step 4: Simplify right side
    79,026x = 29,300,195,929
  5. Step 5: Solve for x
    x = 29,300,195,929/79,026
  6. Step 6: Final answer
    x = 370,766.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.