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Finding the Third Proportional to 71,472 and 107,936

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Solution

The third proportional to 71,472 and 107,936 is: 163,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,472 : 107,936 = 107,936 : x
  2. Step 2: Convert to fraction form
    71,472/107,936 = 107,936/x
  3. Step 3: Cross multiply
    71,472x = 107,936 × 107,936
  4. Step 4: Simplify right side
    71,472x = 11,650,180,096
  5. Step 5: Solve for x
    x = 11,650,180,096/71,472
  6. Step 6: Final answer
    x = 163,003.42

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Why These Related Problems?

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