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Finding the Third Proportional to 26,203 and 56,557

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Solution

The third proportional to 26,203 and 56,557 is: 122,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,203 : 56,557 = 56,557 : x
  2. Step 2: Convert to fraction form
    26,203/56,557 = 56,557/x
  3. Step 3: Cross multiply
    26,203x = 56,557 × 56,557
  4. Step 4: Simplify right side
    26,203x = 3,198,694,249
  5. Step 5: Solve for x
    x = 3,198,694,249/26,203
  6. Step 6: Final answer
    x = 122,073.59

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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.