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Finding the Third Proportional to 72,844 and 109,936

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Solution

The third proportional to 72,844 and 109,936 is: 165,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,844 : 109,936 = 109,936 : x
  2. Step 2: Convert to fraction form
    72,844/109,936 = 109,936/x
  3. Step 3: Cross multiply
    72,844x = 109,936 × 109,936
  4. Step 4: Simplify right side
    72,844x = 12,085,924,096
  5. Step 5: Solve for x
    x = 12,085,924,096/72,844
  6. Step 6: Final answer
    x = 165,915.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.