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Finding the Third Proportional to 58,012 and 126,676

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Solution

The third proportional to 58,012 and 126,676 is: 276,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,012 : 126,676 = 126,676 : x
  2. Step 2: Convert to fraction form
    58,012/126,676 = 126,676/x
  3. Step 3: Cross multiply
    58,012x = 126,676 × 126,676
  4. Step 4: Simplify right side
    58,012x = 16,046,808,976
  5. Step 5: Solve for x
    x = 16,046,808,976/58,012
  6. Step 6: Final answer
    x = 276,611.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.