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Finding the Third Proportional to 41,927 and 88,696

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Solution

The third proportional to 41,927 and 88,696 is: 187,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,927 : 88,696 = 88,696 : x
  2. Step 2: Convert to fraction form
    41,927/88,696 = 88,696/x
  3. Step 3: Cross multiply
    41,927x = 88,696 × 88,696
  4. Step 4: Simplify right side
    41,927x = 7,866,980,416
  5. Step 5: Solve for x
    x = 7,866,980,416/41,927
  6. Step 6: Final answer
    x = 187,635.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.