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Finding the Third Proportional to 41,232 and 89,824

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Solution

The third proportional to 41,232 and 89,824 is: 195,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,232 : 89,824 = 89,824 : x
  2. Step 2: Convert to fraction form
    41,232/89,824 = 89,824/x
  3. Step 3: Cross multiply
    41,232x = 89,824 × 89,824
  4. Step 4: Simplify right side
    41,232x = 8,068,350,976
  5. Step 5: Solve for x
    x = 8,068,350,976/41,232
  6. Step 6: Final answer
    x = 195,681.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.