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Finding the Third Proportional to 71,494 and 108,778

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Solution

The third proportional to 71,494 and 108,778 is: 165,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,494 : 108,778 = 108,778 : x
  2. Step 2: Convert to fraction form
    71,494/108,778 = 108,778/x
  3. Step 3: Cross multiply
    71,494x = 108,778 × 108,778
  4. Step 4: Simplify right side
    71,494x = 11,832,653,284
  5. Step 5: Solve for x
    x = 11,832,653,284/71,494
  6. Step 6: Final answer
    x = 165,505.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.