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Finding the Third Proportional to 26,115 and 57,414

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Solution

The third proportional to 26,115 and 57,414 is: 126,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,115 : 57,414 = 57,414 : x
  2. Step 2: Convert to fraction form
    26,115/57,414 = 57,414/x
  3. Step 3: Cross multiply
    26,115x = 57,414 × 57,414
  4. Step 4: Simplify right side
    26,115x = 3,296,367,396
  5. Step 5: Solve for x
    x = 3,296,367,396/26,115
  6. Step 6: Final answer
    x = 126,225.06

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