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Finding the Third Proportional to 54,448 and 117,238

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Solution

The third proportional to 54,448 and 117,238 is: 252,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,448 : 117,238 = 117,238 : x
  2. Step 2: Convert to fraction form
    54,448/117,238 = 117,238/x
  3. Step 3: Cross multiply
    54,448x = 117,238 × 117,238
  4. Step 4: Simplify right side
    54,448x = 13,744,748,644
  5. Step 5: Solve for x
    x = 13,744,748,644/54,448
  6. Step 6: Final answer
    x = 252,438.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.