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Finding the Third Proportional to 37,522 and 80,065

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Solution

The third proportional to 37,522 and 80,065 is: 170,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,522 : 80,065 = 80,065 : x
  2. Step 2: Convert to fraction form
    37,522/80,065 = 80,065/x
  3. Step 3: Cross multiply
    37,522x = 80,065 × 80,065
  4. Step 4: Simplify right side
    37,522x = 6,410,404,225
  5. Step 5: Solve for x
    x = 6,410,404,225/37,522
  6. Step 6: Final answer
    x = 170,843.88

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.