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Finding the Third Proportional to 26,114 and 57,412

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Solution

The third proportional to 26,114 and 57,412 is: 126,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,114 : 57,412 = 57,412 : x
  2. Step 2: Convert to fraction form
    26,114/57,412 = 57,412/x
  3. Step 3: Cross multiply
    26,114x = 57,412 × 57,412
  4. Step 4: Simplify right side
    26,114x = 3,296,137,744
  5. Step 5: Solve for x
    x = 3,296,137,744/26,114
  6. Step 6: Final answer
    x = 126,221.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.