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Finding the Third Proportional to 91,845 and 141,936

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Solution

The third proportional to 91,845 and 141,936 is: 219,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,845 : 141,936 = 141,936 : x
  2. Step 2: Convert to fraction form
    91,845/141,936 = 141,936/x
  3. Step 3: Cross multiply
    91,845x = 141,936 × 141,936
  4. Step 4: Simplify right side
    91,845x = 20,145,828,096
  5. Step 5: Solve for x
    x = 20,145,828,096/91,845
  6. Step 6: Final answer
    x = 219,345.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.