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Finding the Third Proportional to 57,965 and 122,156

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Solution

The third proportional to 57,965 and 122,156 is: 257,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,965 : 122,156 = 122,156 : x
  2. Step 2: Convert to fraction form
    57,965/122,156 = 122,156/x
  3. Step 3: Cross multiply
    57,965x = 122,156 × 122,156
  4. Step 4: Simplify right side
    57,965x = 14,922,088,336
  5. Step 5: Solve for x
    x = 14,922,088,336/57,965
  6. Step 6: Final answer
    x = 257,432.73

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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.