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Finding the Third Proportional to 42,296 and 93,088

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Solution

The third proportional to 42,296 and 93,088 is: 204,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,296 : 93,088 = 93,088 : x
  2. Step 2: Convert to fraction form
    42,296/93,088 = 93,088/x
  3. Step 3: Cross multiply
    42,296x = 93,088 × 93,088
  4. Step 4: Simplify right side
    42,296x = 8,665,375,744
  5. Step 5: Solve for x
    x = 8,665,375,744/42,296
  6. Step 6: Final answer
    x = 204,874.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.