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Finding the Third Proportional to 26,202 and 55,353

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Solution

The third proportional to 26,202 and 55,353 is: 116,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,202 : 55,353 = 55,353 : x
  2. Step 2: Convert to fraction form
    26,202/55,353 = 55,353/x
  3. Step 3: Cross multiply
    26,202x = 55,353 × 55,353
  4. Step 4: Simplify right side
    26,202x = 3,063,954,609
  5. Step 5: Solve for x
    x = 3,063,954,609/26,202
  6. Step 6: Final answer
    x = 116,935.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.