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Finding the Third Proportional to 54,269 and 116,325

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Solution

The third proportional to 54,269 and 116,325 is: 249,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,269 : 116,325 = 116,325 : x
  2. Step 2: Convert to fraction form
    54,269/116,325 = 116,325/x
  3. Step 3: Cross multiply
    54,269x = 116,325 × 116,325
  4. Step 4: Simplify right side
    54,269x = 13,531,505,625
  5. Step 5: Solve for x
    x = 13,531,505,625/54,269
  6. Step 6: Final answer
    x = 249,341.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.