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Finding the Third Proportional to 26,179 and 58,163

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Solution

The third proportional to 26,179 and 58,163 is: 129,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,179 : 58,163 = 58,163 : x
  2. Step 2: Convert to fraction form
    26,179/58,163 = 58,163/x
  3. Step 3: Cross multiply
    26,179x = 58,163 × 58,163
  4. Step 4: Simplify right side
    26,179x = 3,382,934,569
  5. Step 5: Solve for x
    x = 3,382,934,569/26,179
  6. Step 6: Final answer
    x = 129,223.22

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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.