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Finding the Third Proportional to 43,760 and 89,125.50

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Solution

The third proportional to 43,760 and 89,125.50 is: 181,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,760 : 89,125.50 = 89,125.50 : x
  2. Step 2: Convert to fraction form
    43,760/89,125.50 = 89,125.50/x
  3. Step 3: Cross multiply
    43,760x = 89,125.50 × 89,125.50
  4. Step 4: Simplify right side
    43,760x = 7,943,354,750.25
  5. Step 5: Solve for x
    x = 7,943,354,750.25/43,760
  6. Step 6: Final answer
    x = 181,520.90

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.