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Finding the Third Proportional to 41,108 and 88,455

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Solution

The third proportional to 41,108 and 88,455 is: 190,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,108 : 88,455 = 88,455 : x
  2. Step 2: Convert to fraction form
    41,108/88,455 = 88,455/x
  3. Step 3: Cross multiply
    41,108x = 88,455 × 88,455
  4. Step 4: Simplify right side
    41,108x = 7,824,287,025
  5. Step 5: Solve for x
    x = 7,824,287,025/41,108
  6. Step 6: Final answer
    x = 190,334.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.