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Finding the Third Proportional to 26,531 and 58,165

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Solution

The third proportional to 26,531 and 58,165 is: 127,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,531 : 58,165 = 58,165 : x
  2. Step 2: Convert to fraction form
    26,531/58,165 = 58,165/x
  3. Step 3: Cross multiply
    26,531x = 58,165 × 58,165
  4. Step 4: Simplify right side
    26,531x = 3,383,167,225
  5. Step 5: Solve for x
    x = 3,383,167,225/26,531
  6. Step 6: Final answer
    x = 127,517.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.