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Finding the Third Proportional to 26,721 and 57,145

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Solution

The third proportional to 26,721 and 57,145 is: 122,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,721 : 57,145 = 57,145 : x
  2. Step 2: Convert to fraction form
    26,721/57,145 = 57,145/x
  3. Step 3: Cross multiply
    26,721x = 57,145 × 57,145
  4. Step 4: Simplify right side
    26,721x = 3,265,551,025
  5. Step 5: Solve for x
    x = 3,265,551,025/26,721
  6. Step 6: Final answer
    x = 122,209.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.