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Finding the Third Proportional to 71,696 and 108,515

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Solution

The third proportional to 71,696 and 108,515 is: 164,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696 : 108,515 = 108,515 : x
  2. Step 2: Convert to fraction form
    71,696/108,515 = 108,515/x
  3. Step 3: Cross multiply
    71,696x = 108,515 × 108,515
  4. Step 4: Simplify right side
    71,696x = 11,775,505,225
  5. Step 5: Solve for x
    x = 11,775,505,225/71,696
  6. Step 6: Final answer
    x = 164,242.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.