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Finding the Third Proportional to 26,065 and 57,314

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Solution

The third proportional to 26,065 and 57,314 is: 126,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,065 : 57,314 = 57,314 : x
  2. Step 2: Convert to fraction form
    26,065/57,314 = 57,314/x
  3. Step 3: Cross multiply
    26,065x = 57,314 × 57,314
  4. Step 4: Simplify right side
    26,065x = 3,284,894,596
  5. Step 5: Solve for x
    x = 3,284,894,596/26,065
  6. Step 6: Final answer
    x = 126,027.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.