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Finding the Third Proportional to 54,407.25 and 119,848

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Solution

The third proportional to 54,407.25 and 119,848 is: 264,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,407.25 : 119,848 = 119,848 : x
  2. Step 2: Convert to fraction form
    54,407.25/119,848 = 119,848/x
  3. Step 3: Cross multiply
    54,407.25x = 119,848 × 119,848
  4. Step 4: Simplify right side
    54,407.25x = 14,363,543,104
  5. Step 5: Solve for x
    x = 14,363,543,104/54,407.25
  6. Step 6: Final answer
    x = 264,000.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.