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Finding the Third Proportional to 26,142 and 57,023

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Solution

The third proportional to 26,142 and 57,023 is: 124,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142 : 57,023 = 57,023 : x
  2. Step 2: Convert to fraction form
    26,142/57,023 = 57,023/x
  3. Step 3: Cross multiply
    26,142x = 57,023 × 57,023
  4. Step 4: Simplify right side
    26,142x = 3,251,622,529
  5. Step 5: Solve for x
    x = 3,251,622,529/26,142
  6. Step 6: Final answer
    x = 124,383.08

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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.