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Finding the Third Proportional to 80,069 and 119,655.50

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Solution

The third proportional to 80,069 and 119,655.50 is: 178,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,069 : 119,655.50 = 119,655.50 : x
  2. Step 2: Convert to fraction form
    80,069/119,655.50 = 119,655.50/x
  3. Step 3: Cross multiply
    80,069x = 119,655.50 × 119,655.50
  4. Step 4: Simplify right side
    80,069x = 14,317,438,680.25
  5. Step 5: Solve for x
    x = 14,317,438,680.25/80,069
  6. Step 6: Final answer
    x = 178,813.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.