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Finding the Third Proportional to 67,059 and 139,621.50

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Solution

The third proportional to 67,059 and 139,621.50 is: 290,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,059 : 139,621.50 = 139,621.50 : x
  2. Step 2: Convert to fraction form
    67,059/139,621.50 = 139,621.50/x
  3. Step 3: Cross multiply
    67,059x = 139,621.50 × 139,621.50
  4. Step 4: Simplify right side
    67,059x = 19,494,163,262.25
  5. Step 5: Solve for x
    x = 19,494,163,262.25/67,059
  6. Step 6: Final answer
    x = 290,701.67

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.