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Finding the Third Proportional to 54,144 and 119,424

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Solution

The third proportional to 54,144 and 119,424 is: 263,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,144 : 119,424 = 119,424 : x
  2. Step 2: Convert to fraction form
    54,144/119,424 = 119,424/x
  3. Step 3: Cross multiply
    54,144x = 119,424 × 119,424
  4. Step 4: Simplify right side
    54,144x = 14,262,091,776
  5. Step 5: Solve for x
    x = 14,262,091,776/54,144
  6. Step 6: Final answer
    x = 263,410.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.