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Finding the Third Proportional to 26,147 and 57,022

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Solution

The third proportional to 26,147 and 57,022 is: 124,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,147 : 57,022 = 57,022 : x
  2. Step 2: Convert to fraction form
    26,147/57,022 = 57,022/x
  3. Step 3: Cross multiply
    26,147x = 57,022 × 57,022
  4. Step 4: Simplify right side
    26,147x = 3,251,508,484
  5. Step 5: Solve for x
    x = 3,251,508,484/26,147
  6. Step 6: Final answer
    x = 124,354.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.