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Finding the Third Proportional to 41,227 and 88,284

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Solution

The third proportional to 41,227 and 88,284 is: 189,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,227 : 88,284 = 88,284 : x
  2. Step 2: Convert to fraction form
    41,227/88,284 = 88,284/x
  3. Step 3: Cross multiply
    41,227x = 88,284 × 88,284
  4. Step 4: Simplify right side
    41,227x = 7,794,064,656
  5. Step 5: Solve for x
    x = 7,794,064,656/41,227
  6. Step 6: Final answer
    x = 189,052.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.