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Finding the Third Proportional to 26,086 and 56,249

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Solution

The third proportional to 26,086 and 56,249 is: 121,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,086 : 56,249 = 56,249 : x
  2. Step 2: Convert to fraction form
    26,086/56,249 = 56,249/x
  3. Step 3: Cross multiply
    26,086x = 56,249 × 56,249
  4. Step 4: Simplify right side
    26,086x = 3,163,950,001
  5. Step 5: Solve for x
    x = 3,163,950,001/26,086
  6. Step 6: Final answer
    x = 121,289.20

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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.