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Finding the Third Proportional to 81,558 and 172,916

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Solution

The third proportional to 81,558 and 172,916 is: 366,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,558 : 172,916 = 172,916 : x
  2. Step 2: Convert to fraction form
    81,558/172,916 = 172,916/x
  3. Step 3: Cross multiply
    81,558x = 172,916 × 172,916
  4. Step 4: Simplify right side
    81,558x = 29,899,943,056
  5. Step 5: Solve for x
    x = 29,899,943,056/81,558
  6. Step 6: Final answer
    x = 366,609.57

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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.