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Finding the Third Proportional to 54,306.75 and 118,268.02

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Solution

The third proportional to 54,306.75 and 118,268.02 is: 257,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,306.75 : 118,268.02 = 118,268.02 : x
  2. Step 2: Convert to fraction form
    54,306.75/118,268.02 = 118,268.02/x
  3. Step 3: Cross multiply
    54,306.75x = 118,268.02 × 118,268.02
  4. Step 4: Simplify right side
    54,306.75x = 13,987,323,519.88
  5. Step 5: Solve for x
    x = 13,987,323,519.88/54,306.75
  6. Step 6: Final answer
    x = 257,561.42

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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.