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Finding the Third Proportional to 41,213 and 88,996

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Solution

The third proportional to 41,213 and 88,996 is: 192,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,213 : 88,996 = 88,996 : x
  2. Step 2: Convert to fraction form
    41,213/88,996 = 88,996/x
  3. Step 3: Cross multiply
    41,213x = 88,996 × 88,996
  4. Step 4: Simplify right side
    41,213x = 7,920,288,016
  5. Step 5: Solve for x
    x = 7,920,288,016/41,213
  6. Step 6: Final answer
    x = 192,179.36

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