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Finding the Third Proportional to 81,229 and 118,675

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Solution

The third proportional to 81,229 and 118,675 is: 173,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,229 : 118,675 = 118,675 : x
  2. Step 2: Convert to fraction form
    81,229/118,675 = 118,675/x
  3. Step 3: Cross multiply
    81,229x = 118,675 × 118,675
  4. Step 4: Simplify right side
    81,229x = 14,083,755,625
  5. Step 5: Solve for x
    x = 14,083,755,625/81,229
  6. Step 6: Final answer
    x = 173,383.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.