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Finding the Third Proportional to 54,371.25 and 121,378.50

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Solution

The third proportional to 54,371.25 and 121,378.50 is: 270,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,371.25 : 121,378.50 = 121,378.50 : x
  2. Step 2: Convert to fraction form
    54,371.25/121,378.50 = 121,378.50/x
  3. Step 3: Cross multiply
    54,371.25x = 121,378.50 × 121,378.50
  4. Step 4: Simplify right side
    54,371.25x = 14,732,740,262.25
  5. Step 5: Solve for x
    x = 14,732,740,262.25/54,371.25
  6. Step 6: Final answer
    x = 270,965.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.