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Finding the Third Proportional to 57,862 and 120,330

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Solution

The third proportional to 57,862 and 120,330 is: 250,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,862 : 120,330 = 120,330 : x
  2. Step 2: Convert to fraction form
    57,862/120,330 = 120,330/x
  3. Step 3: Cross multiply
    57,862x = 120,330 × 120,330
  4. Step 4: Simplify right side
    57,862x = 14,479,308,900
  5. Step 5: Solve for x
    x = 14,479,308,900/57,862
  6. Step 6: Final answer
    x = 250,238.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.