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Finding the Third Proportional to 41,570.09 and 89,376.54

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Solution

The third proportional to 41,570.09 and 89,376.54 is: 192,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,570.09 : 89,376.54 = 89,376.54 : x
  2. Step 2: Convert to fraction form
    41,570.09/89,376.54 = 89,376.54/x
  3. Step 3: Cross multiply
    41,570.09x = 89,376.54 × 89,376.54
  4. Step 4: Simplify right side
    41,570.09x = 7,988,165,734.79
  5. Step 5: Solve for x
    x = 7,988,165,734.79/41,570.09
  6. Step 6: Final answer
    x = 192,161.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.