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Finding the Third Proportional to 57,112 and 124,026

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Solution

The third proportional to 57,112 and 124,026 is: 269,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,112 : 124,026 = 124,026 : x
  2. Step 2: Convert to fraction form
    57,112/124,026 = 124,026/x
  3. Step 3: Cross multiply
    57,112x = 124,026 × 124,026
  4. Step 4: Simplify right side
    57,112x = 15,382,448,676
  5. Step 5: Solve for x
    x = 15,382,448,676/57,112
  6. Step 6: Final answer
    x = 269,338.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.