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Finding the Third Proportional to 58,009 and 126,671

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Solution

The third proportional to 58,009 and 126,671 is: 276,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,009 : 126,671 = 126,671 : x
  2. Step 2: Convert to fraction form
    58,009/126,671 = 126,671/x
  3. Step 3: Cross multiply
    58,009x = 126,671 × 126,671
  4. Step 4: Simplify right side
    58,009x = 16,045,542,241
  5. Step 5: Solve for x
    x = 16,045,542,241/58,009
  6. Step 6: Final answer
    x = 276,604.36

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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.