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Finding the Third Proportional to 41,571 and 89,798

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Solution

The third proportional to 41,571 and 89,798 is: 193,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,571 : 89,798 = 89,798 : x
  2. Step 2: Convert to fraction form
    41,571/89,798 = 89,798/x
  3. Step 3: Cross multiply
    41,571x = 89,798 × 89,798
  4. Step 4: Simplify right side
    41,571x = 8,063,680,804
  5. Step 5: Solve for x
    x = 8,063,680,804/41,571
  6. Step 6: Final answer
    x = 193,973.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.