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Finding the Third Proportional to 59,467.50 and 80,723.25

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Solution

The third proportional to 59,467.50 and 80,723.25 is: 109,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,467.50 : 80,723.25 = 80,723.25 : x
  2. Step 2: Convert to fraction form
    59,467.50/80,723.25 = 80,723.25/x
  3. Step 3: Cross multiply
    59,467.50x = 80,723.25 × 80,723.25
  4. Step 4: Simplify right side
    59,467.50x = 6,516,243,090.56
  5. Step 5: Solve for x
    x = 6,516,243,090.56/59,467.50
  6. Step 6: Final answer
    x = 109,576.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.