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Finding the Third Proportional to 59,794 and 126,877

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Solution

The third proportional to 59,794 and 126,877 is: 269,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,794 : 126,877 = 126,877 : x
  2. Step 2: Convert to fraction form
    59,794/126,877 = 126,877/x
  3. Step 3: Cross multiply
    59,794x = 126,877 × 126,877
  4. Step 4: Simplify right side
    59,794x = 16,097,773,129
  5. Step 5: Solve for x
    x = 16,097,773,129/59,794
  6. Step 6: Final answer
    x = 269,220.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.