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Finding the Third Proportional to 37,229 and 80,290

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Solution

The third proportional to 37,229 and 80,290 is: 173,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,229 : 80,290 = 80,290 : x
  2. Step 2: Convert to fraction form
    37,229/80,290 = 80,290/x
  3. Step 3: Cross multiply
    37,229x = 80,290 × 80,290
  4. Step 4: Simplify right side
    37,229x = 6,446,484,100
  5. Step 5: Solve for x
    x = 6,446,484,100/37,229
  6. Step 6: Final answer
    x = 173,157.59

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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.