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Finding the Third Proportional to 54,610 and 119,928

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Solution

The third proportional to 54,610 and 119,928 is: 263,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,610 : 119,928 = 119,928 : x
  2. Step 2: Convert to fraction form
    54,610/119,928 = 119,928/x
  3. Step 3: Cross multiply
    54,610x = 119,928 × 119,928
  4. Step 4: Simplify right side
    54,610x = 14,382,725,184
  5. Step 5: Solve for x
    x = 14,382,725,184/54,610
  6. Step 6: Final answer
    x = 263,371.64

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Why These Related Problems?

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