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Finding the Third Proportional to 41,657.25 and 89,470.50

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Solution

The third proportional to 41,657.25 and 89,470.50 is: 192,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,657.25 : 89,470.50 = 89,470.50 : x
  2. Step 2: Convert to fraction form
    41,657.25/89,470.50 = 89,470.50/x
  3. Step 3: Cross multiply
    41,657.25x = 89,470.50 × 89,470.50
  4. Step 4: Simplify right side
    41,657.25x = 8,004,970,370.25
  5. Step 5: Solve for x
    x = 8,004,970,370.25/41,657.25
  6. Step 6: Final answer
    x = 192,162.72

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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.