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Finding the Third Proportional to 37,061.72 and 81,503.72

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Solution

The third proportional to 37,061.72 and 81,503.72 is: 179,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,061.72 : 81,503.72 = 81,503.72 : x
  2. Step 2: Convert to fraction form
    37,061.72/81,503.72 = 81,503.72/x
  3. Step 3: Cross multiply
    37,061.72x = 81,503.72 × 81,503.72
  4. Step 4: Simplify right side
    37,061.72x = 6,642,856,170.08
  5. Step 5: Solve for x
    x = 6,642,856,170.08/37,061.72
  6. Step 6: Final answer
    x = 179,237.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.