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Finding the Third Proportional to 87,493.50 and 180,427.50

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Solution

The third proportional to 87,493.50 and 180,427.50 is: 372,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,493.50 : 180,427.50 = 180,427.50 : x
  2. Step 2: Convert to fraction form
    87,493.50/180,427.50 = 180,427.50/x
  3. Step 3: Cross multiply
    87,493.50x = 180,427.50 × 180,427.50
  4. Step 4: Simplify right side
    87,493.50x = 32,554,082,756.25
  5. Step 5: Solve for x
    x = 32,554,082,756.25/87,493.50
  6. Step 6: Final answer
    x = 372,074.30

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.