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Finding the Third Proportional to 54,238 and 117,224

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Solution

The third proportional to 54,238 and 117,224 is: 253,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,238 : 117,224 = 117,224 : x
  2. Step 2: Convert to fraction form
    54,238/117,224 = 117,224/x
  3. Step 3: Cross multiply
    54,238x = 117,224 × 117,224
  4. Step 4: Simplify right side
    54,238x = 13,741,466,176
  5. Step 5: Solve for x
    x = 13,741,466,176/54,238
  6. Step 6: Final answer
    x = 253,354.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.