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Finding the Third Proportional to 57,952 and 126,977

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Solution

The third proportional to 57,952 and 126,977 is: 278,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952 : 126,977 = 126,977 : x
  2. Step 2: Convert to fraction form
    57,952/126,977 = 126,977/x
  3. Step 3: Cross multiply
    57,952x = 126,977 × 126,977
  4. Step 4: Simplify right side
    57,952x = 16,123,158,529
  5. Step 5: Solve for x
    x = 16,123,158,529/57,952
  6. Step 6: Final answer
    x = 278,215.74

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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.