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Finding the Third Proportional to 26,177 and 58,159

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Solution

The third proportional to 26,177 and 58,159 is: 129,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,177 : 58,159 = 58,159 : x
  2. Step 2: Convert to fraction form
    26,177/58,159 = 58,159/x
  3. Step 3: Cross multiply
    26,177x = 58,159 × 58,159
  4. Step 4: Simplify right side
    26,177x = 3,382,469,281
  5. Step 5: Solve for x
    x = 3,382,469,281/26,177
  6. Step 6: Final answer
    x = 129,215.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.