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Finding the Third Proportional to 41,657.50 and 89,969

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Solution

The third proportional to 41,657.50 and 89,969 is: 194,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,657.50 : 89,969 = 89,969 : x
  2. Step 2: Convert to fraction form
    41,657.50/89,969 = 89,969/x
  3. Step 3: Cross multiply
    41,657.50x = 89,969 × 89,969
  4. Step 4: Simplify right side
    41,657.50x = 8,094,420,961
  5. Step 5: Solve for x
    x = 8,094,420,961/41,657.50
  6. Step 6: Final answer
    x = 194,308.85

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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.