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Finding the Third Proportional to 81,616 and 126,114

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Solution

The third proportional to 81,616 and 126,114 is: 194,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,616 : 126,114 = 126,114 : x
  2. Step 2: Convert to fraction form
    81,616/126,114 = 126,114/x
  3. Step 3: Cross multiply
    81,616x = 126,114 × 126,114
  4. Step 4: Simplify right side
    81,616x = 15,904,740,996
  5. Step 5: Solve for x
    x = 15,904,740,996/81,616
  6. Step 6: Final answer
    x = 194,872.83

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Why These Related Problems?

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