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Finding the Third Proportional to 54,341 and 115,224

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Solution

The third proportional to 54,341 and 115,224 is: 244,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,341 : 115,224 = 115,224 : x
  2. Step 2: Convert to fraction form
    54,341/115,224 = 115,224/x
  3. Step 3: Cross multiply
    54,341x = 115,224 × 115,224
  4. Step 4: Simplify right side
    54,341x = 13,276,570,176
  5. Step 5: Solve for x
    x = 13,276,570,176/54,341
  6. Step 6: Final answer
    x = 244,319.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.