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Finding the Third Proportional to 26,150 and 56,668

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Solution

The third proportional to 26,150 and 56,668 is: 122,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,150 : 56,668 = 56,668 : x
  2. Step 2: Convert to fraction form
    26,150/56,668 = 56,668/x
  3. Step 3: Cross multiply
    26,150x = 56,668 × 56,668
  4. Step 4: Simplify right side
    26,150x = 3,211,262,224
  5. Step 5: Solve for x
    x = 3,211,262,224/26,150
  6. Step 6: Final answer
    x = 122,801.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.