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Finding the Third Proportional to 41,006.25 and 89,673.75

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Solution

The third proportional to 41,006.25 and 89,673.75 is: 196,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,006.25 : 89,673.75 = 89,673.75 : x
  2. Step 2: Convert to fraction form
    41,006.25/89,673.75 = 89,673.75/x
  3. Step 3: Cross multiply
    41,006.25x = 89,673.75 × 89,673.75
  4. Step 4: Simplify right side
    41,006.25x = 8,041,381,439.06
  5. Step 5: Solve for x
    x = 8,041,381,439.06/41,006.25
  6. Step 6: Final answer
    x = 196,101.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.