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Finding the Third Proportional to 75,935 and 120,087

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Solution

The third proportional to 75,935 and 120,087 is: 189,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,935 : 120,087 = 120,087 : x
  2. Step 2: Convert to fraction form
    75,935/120,087 = 120,087/x
  3. Step 3: Cross multiply
    75,935x = 120,087 × 120,087
  4. Step 4: Simplify right side
    75,935x = 14,420,887,569
  5. Step 5: Solve for x
    x = 14,420,887,569/75,935
  6. Step 6: Final answer
    x = 189,910.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.