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Finding the Third Proportional to 54,458 and 119,952

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Solution

The third proportional to 54,458 and 119,952 is: 264,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,458 : 119,952 = 119,952 : x
  2. Step 2: Convert to fraction form
    54,458/119,952 = 119,952/x
  3. Step 3: Cross multiply
    54,458x = 119,952 × 119,952
  4. Step 4: Simplify right side
    54,458x = 14,388,482,304
  5. Step 5: Solve for x
    x = 14,388,482,304/54,458
  6. Step 6: Final answer
    x = 264,212.46

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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.