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Finding the Third Proportional to 58,185 and 126,738

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Solution

The third proportional to 58,185 and 126,738 is: 276,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,185 : 126,738 = 126,738 : x
  2. Step 2: Convert to fraction form
    58,185/126,738 = 126,738/x
  3. Step 3: Cross multiply
    58,185x = 126,738 × 126,738
  4. Step 4: Simplify right side
    58,185x = 16,062,520,644
  5. Step 5: Solve for x
    x = 16,062,520,644/58,185
  6. Step 6: Final answer
    x = 276,059.48

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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.