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Finding the Third Proportional to 71,738 and 81,296

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Solution

The third proportional to 71,738 and 81,296 is: 92,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,738 : 81,296 = 81,296 : x
  2. Step 2: Convert to fraction form
    71,738/81,296 = 81,296/x
  3. Step 3: Cross multiply
    71,738x = 81,296 × 81,296
  4. Step 4: Simplify right side
    71,738x = 6,609,039,616
  5. Step 5: Solve for x
    x = 6,609,039,616/71,738
  6. Step 6: Final answer
    x = 92,127.46

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.