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Finding the Third Proportional to 54,497.25 and 121,367.25

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Solution

The third proportional to 54,497.25 and 121,367.25 is: 270,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497.25 : 121,367.25 = 121,367.25 : x
  2. Step 2: Convert to fraction form
    54,497.25/121,367.25 = 121,367.25/x
  3. Step 3: Cross multiply
    54,497.25x = 121,367.25 × 121,367.25
  4. Step 4: Simplify right side
    54,497.25x = 14,730,009,372.56
  5. Step 5: Solve for x
    x = 14,730,009,372.56/54,497.25
  6. Step 6: Final answer
    x = 270,289.04

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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.