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Finding the Third Proportional to 90,520 and 126,611

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Solution

The third proportional to 90,520 and 126,611 is: 177,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,520 : 126,611 = 126,611 : x
  2. Step 2: Convert to fraction form
    90,520/126,611 = 126,611/x
  3. Step 3: Cross multiply
    90,520x = 126,611 × 126,611
  4. Step 4: Simplify right side
    90,520x = 16,030,345,321
  5. Step 5: Solve for x
    x = 16,030,345,321/90,520
  6. Step 6: Final answer
    x = 177,091.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.