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Finding the Third Proportional to 41,785.50 and 89,403.75

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Solution

The third proportional to 41,785.50 and 89,403.75 is: 191,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,785.50 : 89,403.75 = 89,403.75 : x
  2. Step 2: Convert to fraction form
    41,785.50/89,403.75 = 89,403.75/x
  3. Step 3: Cross multiply
    41,785.50x = 89,403.75 × 89,403.75
  4. Step 4: Simplify right side
    41,785.50x = 7,993,030,514.06
  5. Step 5: Solve for x
    x = 7,993,030,514.06/41,785.50
  6. Step 6: Final answer
    x = 191,287.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.