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Finding the Third Proportional to 57,954 and 126,982

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Solution

The third proportional to 57,954 and 126,982 is: 278,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,954 : 126,982 = 126,982 : x
  2. Step 2: Convert to fraction form
    57,954/126,982 = 126,982/x
  3. Step 3: Cross multiply
    57,954x = 126,982 × 126,982
  4. Step 4: Simplify right side
    57,954x = 16,124,428,324
  5. Step 5: Solve for x
    x = 16,124,428,324/57,954
  6. Step 6: Final answer
    x = 278,228.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.