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Finding the Third Proportional to 26,156 and 53,689

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Solution

The third proportional to 26,156 and 53,689 is: 110,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,156 : 53,689 = 53,689 : x
  2. Step 2: Convert to fraction form
    26,156/53,689 = 53,689/x
  3. Step 3: Cross multiply
    26,156x = 53,689 × 53,689
  4. Step 4: Simplify right side
    26,156x = 2,882,508,721
  5. Step 5: Solve for x
    x = 2,882,508,721/26,156
  6. Step 6: Final answer
    x = 110,204.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.