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Finding the Third Proportional to 57,156 and 122,194

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Solution

The third proportional to 57,156 and 122,194 is: 261,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,156 : 122,194 = 122,194 : x
  2. Step 2: Convert to fraction form
    57,156/122,194 = 122,194/x
  3. Step 3: Cross multiply
    57,156x = 122,194 × 122,194
  4. Step 4: Simplify right side
    57,156x = 14,931,373,636
  5. Step 5: Solve for x
    x = 14,931,373,636/57,156
  6. Step 6: Final answer
    x = 261,238.95

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Why These Related Problems?

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