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Finding the Third Proportional to 41,212 and 88,255

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Solution

The third proportional to 41,212 and 88,255 is: 188,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,212 : 88,255 = 88,255 : x
  2. Step 2: Convert to fraction form
    41,212/88,255 = 88,255/x
  3. Step 3: Cross multiply
    41,212x = 88,255 × 88,255
  4. Step 4: Simplify right side
    41,212x = 7,788,945,025
  5. Step 5: Solve for x
    x = 7,788,945,025/41,212
  6. Step 6: Final answer
    x = 188,997.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.