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Finding the Third Proportional to 89,928 and 131,976

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Solution

The third proportional to 89,928 and 131,976 is: 193,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,928 : 131,976 = 131,976 : x
  2. Step 2: Convert to fraction form
    89,928/131,976 = 131,976/x
  3. Step 3: Cross multiply
    89,928x = 131,976 × 131,976
  4. Step 4: Simplify right side
    89,928x = 17,417,664,576
  5. Step 5: Solve for x
    x = 17,417,664,576/89,928
  6. Step 6: Final answer
    x = 193,684.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.