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Finding the Third Proportional to 41,106 and 88,350

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Solution

The third proportional to 41,106 and 88,350 is: 189,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,106 : 88,350 = 88,350 : x
  2. Step 2: Convert to fraction form
    41,106/88,350 = 88,350/x
  3. Step 3: Cross multiply
    41,106x = 88,350 × 88,350
  4. Step 4: Simplify right side
    41,106x = 7,805,722,500
  5. Step 5: Solve for x
    x = 7,805,722,500/41,106
  6. Step 6: Final answer
    x = 189,892.53

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