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Finding the Third Proportional to 57,976 and 122,179

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Solution

The third proportional to 57,976 and 122,179 is: 257,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,976 : 122,179 = 122,179 : x
  2. Step 2: Convert to fraction form
    57,976/122,179 = 122,179/x
  3. Step 3: Cross multiply
    57,976x = 122,179 × 122,179
  4. Step 4: Simplify right side
    57,976x = 14,927,708,041
  5. Step 5: Solve for x
    x = 14,927,708,041/57,976
  6. Step 6: Final answer
    x = 257,480.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.