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Finding the Third Proportional to 83,115 and 180,162

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Solution

The third proportional to 83,115 and 180,162 is: 390,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,115 : 180,162 = 180,162 : x
  2. Step 2: Convert to fraction form
    83,115/180,162 = 180,162/x
  3. Step 3: Cross multiply
    83,115x = 180,162 × 180,162
  4. Step 4: Simplify right side
    83,115x = 32,458,346,244
  5. Step 5: Solve for x
    x = 32,458,346,244/83,115
  6. Step 6: Final answer
    x = 390,523.33

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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.