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Finding the Third Proportional to 27,142 and 58,676

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Solution

The third proportional to 27,142 and 58,676 is: 126,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142 : 58,676 = 58,676 : x
  2. Step 2: Convert to fraction form
    27,142/58,676 = 58,676/x
  3. Step 3: Cross multiply
    27,142x = 58,676 × 58,676
  4. Step 4: Simplify right side
    27,142x = 3,442,872,976
  5. Step 5: Solve for x
    x = 3,442,872,976/27,142
  6. Step 6: Final answer
    x = 126,846.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.