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Finding the Third Proportional to 79,418 and 171,916

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Solution

The third proportional to 79,418 and 171,916 is: 372,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,418 : 171,916 = 171,916 : x
  2. Step 2: Convert to fraction form
    79,418/171,916 = 171,916/x
  3. Step 3: Cross multiply
    79,418x = 171,916 × 171,916
  4. Step 4: Simplify right side
    79,418x = 29,555,111,056
  5. Step 5: Solve for x
    x = 29,555,111,056/79,418
  6. Step 6: Final answer
    x = 372,146.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.