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Finding the Third Proportional to 88,286.25 and 135,080.25

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Solution

The third proportional to 88,286.25 and 135,080.25 is: 206,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,286.25 : 135,080.25 = 135,080.25 : x
  2. Step 2: Convert to fraction form
    88,286.25/135,080.25 = 135,080.25/x
  3. Step 3: Cross multiply
    88,286.25x = 135,080.25 × 135,080.25
  4. Step 4: Simplify right side
    88,286.25x = 18,246,673,940.06
  5. Step 5: Solve for x
    x = 18,246,673,940.06/88,286.25
  6. Step 6: Final answer
    x = 206,676.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.