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Finding the Third Proportional to 26,292 and 58,172

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Solution

The third proportional to 26,292 and 58,172 is: 128,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,292 : 58,172 = 58,172 : x
  2. Step 2: Convert to fraction form
    26,292/58,172 = 58,172/x
  3. Step 3: Cross multiply
    26,292x = 58,172 × 58,172
  4. Step 4: Simplify right side
    26,292x = 3,383,981,584
  5. Step 5: Solve for x
    x = 3,383,981,584/26,292
  6. Step 6: Final answer
    x = 128,707.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.