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Finding the Third Proportional to 52,676 and 126,944

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Solution

The third proportional to 52,676 and 126,944 is: 305,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,676 : 126,944 = 126,944 : x
  2. Step 2: Convert to fraction form
    52,676/126,944 = 126,944/x
  3. Step 3: Cross multiply
    52,676x = 126,944 × 126,944
  4. Step 4: Simplify right side
    52,676x = 16,114,779,136
  5. Step 5: Solve for x
    x = 16,114,779,136/52,676
  6. Step 6: Final answer
    x = 305,922.60

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.