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Finding the Third Proportional to 85,556.25 and 113,541.75

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Solution

The third proportional to 85,556.25 and 113,541.75 is: 150,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,556.25 : 113,541.75 = 113,541.75 : x
  2. Step 2: Convert to fraction form
    85,556.25/113,541.75 = 113,541.75/x
  3. Step 3: Cross multiply
    85,556.25x = 113,541.75 × 113,541.75
  4. Step 4: Simplify right side
    85,556.25x = 12,891,728,993.06
  5. Step 5: Solve for x
    x = 12,891,728,993.06/85,556.25
  6. Step 6: Final answer
    x = 150,681.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.