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Finding the Third Proportional to 26,114 and 56,296

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Solution

The third proportional to 26,114 and 56,296 is: 121,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,114 : 56,296 = 56,296 : x
  2. Step 2: Convert to fraction form
    26,114/56,296 = 56,296/x
  3. Step 3: Cross multiply
    26,114x = 56,296 × 56,296
  4. Step 4: Simplify right side
    26,114x = 3,169,239,616
  5. Step 5: Solve for x
    x = 3,169,239,616/26,114
  6. Step 6: Final answer
    x = 121,361.71

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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.