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Finding the Third Proportional to 54,424 and 84,063

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Solution

The third proportional to 54,424 and 84,063 is: 129,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,424 : 84,063 = 84,063 : x
  2. Step 2: Convert to fraction form
    54,424/84,063 = 84,063/x
  3. Step 3: Cross multiply
    54,424x = 84,063 × 84,063
  4. Step 4: Simplify right side
    54,424x = 7,066,587,969
  5. Step 5: Solve for x
    x = 7,066,587,969/54,424
  6. Step 6: Final answer
    x = 129,843.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.