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Finding the Third Proportional to 34,022 and 72,162

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Solution

The third proportional to 34,022 and 72,162 is: 153,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,022 : 72,162 = 72,162 : x
  2. Step 2: Convert to fraction form
    34,022/72,162 = 72,162/x
  3. Step 3: Cross multiply
    34,022x = 72,162 × 72,162
  4. Step 4: Simplify right side
    34,022x = 5,207,354,244
  5. Step 5: Solve for x
    x = 5,207,354,244/34,022
  6. Step 6: Final answer
    x = 153,058.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.