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Finding the Third Proportional to 57,965 and 120,934

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Solution

The third proportional to 57,965 and 120,934 is: 252,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,965 : 120,934 = 120,934 : x
  2. Step 2: Convert to fraction form
    57,965/120,934 = 120,934/x
  3. Step 3: Cross multiply
    57,965x = 120,934 × 120,934
  4. Step 4: Simplify right side
    57,965x = 14,625,032,356
  5. Step 5: Solve for x
    x = 14,625,032,356/57,965
  6. Step 6: Final answer
    x = 252,307.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.