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Finding the Third Proportional to 54,140 and 80,935

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Solution

The third proportional to 54,140 and 80,935 is: 120,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,140 : 80,935 = 80,935 : x
  2. Step 2: Convert to fraction form
    54,140/80,935 = 80,935/x
  3. Step 3: Cross multiply
    54,140x = 80,935 × 80,935
  4. Step 4: Simplify right side
    54,140x = 6,550,474,225
  5. Step 5: Solve for x
    x = 6,550,474,225/54,140
  6. Step 6: Final answer
    x = 120,991.40

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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.