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Finding the Third Proportional to 86,167 and 180,182

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Solution

The third proportional to 86,167 and 180,182 is: 376,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,167 : 180,182 = 180,182 : x
  2. Step 2: Convert to fraction form
    86,167/180,182 = 180,182/x
  3. Step 3: Cross multiply
    86,167x = 180,182 × 180,182
  4. Step 4: Simplify right side
    86,167x = 32,465,553,124
  5. Step 5: Solve for x
    x = 32,465,553,124/86,167
  6. Step 6: Final answer
    x = 376,774.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.