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Finding the Third Proportional to 26,161 and 56,749

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Solution

The third proportional to 26,161 and 56,749 is: 123,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,161 : 56,749 = 56,749 : x
  2. Step 2: Convert to fraction form
    26,161/56,749 = 56,749/x
  3. Step 3: Cross multiply
    26,161x = 56,749 × 56,749
  4. Step 4: Simplify right side
    26,161x = 3,220,449,001
  5. Step 5: Solve for x
    x = 3,220,449,001/26,161
  6. Step 6: Final answer
    x = 123,101.14

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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.