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Finding the Third Proportional to 84,260.25 and 127,286.44

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Solution

The third proportional to 84,260.25 and 127,286.44 is: 192,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,260.25 : 127,286.44 = 127,286.44 : x
  2. Step 2: Convert to fraction form
    84,260.25/127,286.44 = 127,286.44/x
  3. Step 3: Cross multiply
    84,260.25x = 127,286.44 × 127,286.44
  4. Step 4: Simplify right side
    84,260.25x = 16,201,837,171.44
  5. Step 5: Solve for x
    x = 16,201,837,171.44/84,260.25
  6. Step 6: Final answer
    x = 192,283.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.