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Finding the Third Proportional to 41,112 and 89,831.25

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Solution

The third proportional to 41,112 and 89,831.25 is: 196,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,112 : 89,831.25 = 89,831.25 : x
  2. Step 2: Convert to fraction form
    41,112/89,831.25 = 89,831.25/x
  3. Step 3: Cross multiply
    41,112x = 89,831.25 × 89,831.25
  4. Step 4: Simplify right side
    41,112x = 8,069,653,476.56
  5. Step 5: Solve for x
    x = 8,069,653,476.56/41,112
  6. Step 6: Final answer
    x = 196,284.62

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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.