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Finding the Third Proportional to 113,583.75 and 165,086.25

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Solution

The third proportional to 113,583.75 and 165,086.25 is: 239,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,583.75 : 165,086.25 = 165,086.25 : x
  2. Step 2: Convert to fraction form
    113,583.75/165,086.25 = 165,086.25/x
  3. Step 3: Cross multiply
    113,583.75x = 165,086.25 × 165,086.25
  4. Step 4: Simplify right side
    113,583.75x = 27,253,469,939.06
  5. Step 5: Solve for x
    x = 27,253,469,939.06/113,583.75
  6. Step 6: Final answer
    x = 239,941.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.