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Finding the Third Proportional to 54,418.50 and 115,371

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Solution

The third proportional to 54,418.50 and 115,371 is: 244,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,418.50 : 115,371 = 115,371 : x
  2. Step 2: Convert to fraction form
    54,418.50/115,371 = 115,371/x
  3. Step 3: Cross multiply
    54,418.50x = 115,371 × 115,371
  4. Step 4: Simplify right side
    54,418.50x = 13,310,467,641
  5. Step 5: Solve for x
    x = 13,310,467,641/54,418.50
  6. Step 6: Final answer
    x = 244,594.53

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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.