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Finding the Third Proportional to 54,588 and 115,736.25

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Solution

The third proportional to 54,588 and 115,736.25 is: 245,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,588 : 115,736.25 = 115,736.25 : x
  2. Step 2: Convert to fraction form
    54,588/115,736.25 = 115,736.25/x
  3. Step 3: Cross multiply
    54,588x = 115,736.25 × 115,736.25
  4. Step 4: Simplify right side
    54,588x = 13,394,879,564.06
  5. Step 5: Solve for x
    x = 13,394,879,564.06/54,588
  6. Step 6: Final answer
    x = 245,381.39

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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.