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Finding the Third Proportional to 41,787 and 87,018.75

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Solution

The third proportional to 41,787 and 87,018.75 is: 181,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,787 : 87,018.75 = 87,018.75 : x
  2. Step 2: Convert to fraction form
    41,787/87,018.75 = 87,018.75/x
  3. Step 3: Cross multiply
    41,787x = 87,018.75 × 87,018.75
  4. Step 4: Simplify right side
    41,787x = 7,572,262,851.56
  5. Step 5: Solve for x
    x = 7,572,262,851.56/41,787
  6. Step 6: Final answer
    x = 181,210.97

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.