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Finding the Third Proportional to 54,548 and 118,952

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Solution

The third proportional to 54,548 and 118,952 is: 259,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548 : 118,952 = 118,952 : x
  2. Step 2: Convert to fraction form
    54,548/118,952 = 118,952/x
  3. Step 3: Cross multiply
    54,548x = 118,952 × 118,952
  4. Step 4: Simplify right side
    54,548x = 14,149,578,304
  5. Step 5: Solve for x
    x = 14,149,578,304/54,548
  6. Step 6: Final answer
    x = 259,396.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.