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Finding the Third Proportional to 79,020 and 171,162

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Solution

The third proportional to 79,020 and 171,162 is: 370,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,020 : 171,162 = 171,162 : x
  2. Step 2: Convert to fraction form
    79,020/171,162 = 171,162/x
  3. Step 3: Cross multiply
    79,020x = 171,162 × 171,162
  4. Step 4: Simplify right side
    79,020x = 29,296,430,244
  5. Step 5: Solve for x
    x = 29,296,430,244/79,020
  6. Step 6: Final answer
    x = 370,747.03

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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.