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Finding the Third Proportional to 26,910 and 59,126

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Solution

The third proportional to 26,910 and 59,126 is: 129,910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,910 : 59,126 = 59,126 : x
  2. Step 2: Convert to fraction form
    26,910/59,126 = 59,126/x
  3. Step 3: Cross multiply
    26,910x = 59,126 × 59,126
  4. Step 4: Simplify right side
    26,910x = 3,495,883,876
  5. Step 5: Solve for x
    x = 3,495,883,876/26,910
  6. Step 6: Final answer
    x = 129,910.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.