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Finding the Third Proportional to 41,662.50 and 91,239

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Solution

The third proportional to 41,662.50 and 91,239 is: 199,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,662.50 : 91,239 = 91,239 : x
  2. Step 2: Convert to fraction form
    41,662.50/91,239 = 91,239/x
  3. Step 3: Cross multiply
    41,662.50x = 91,239 × 91,239
  4. Step 4: Simplify right side
    41,662.50x = 8,324,555,121
  5. Step 5: Solve for x
    x = 8,324,555,121/41,662.50
  6. Step 6: Final answer
    x = 199,809.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.