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Finding the Third Proportional to 86,195.25 and 182,757.38

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Solution

The third proportional to 86,195.25 and 182,757.38 is: 387,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,195.25 : 182,757.38 = 182,757.38 : x
  2. Step 2: Convert to fraction form
    86,195.25/182,757.38 = 182,757.38/x
  3. Step 3: Cross multiply
    86,195.25x = 182,757.38 × 182,757.38
  4. Step 4: Simplify right side
    86,195.25x = 33,400,258,116.89
  5. Step 5: Solve for x
    x = 33,400,258,116.89/86,195.25
  6. Step 6: Final answer
    x = 387,495.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.