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Finding the Third Proportional to 26,011 and 56,126

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Solution

The third proportional to 26,011 and 56,126 is: 121,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,011 : 56,126 = 56,126 : x
  2. Step 2: Convert to fraction form
    26,011/56,126 = 56,126/x
  3. Step 3: Cross multiply
    26,011x = 56,126 × 56,126
  4. Step 4: Simplify right side
    26,011x = 3,150,127,876
  5. Step 5: Solve for x
    x = 3,150,127,876/26,011
  6. Step 6: Final answer
    x = 121,107.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.