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Finding the Third Proportional to 57,225 and 120,882

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Solution

The third proportional to 57,225 and 120,882 is: 255,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,225 : 120,882 = 120,882 : x
  2. Step 2: Convert to fraction form
    57,225/120,882 = 120,882/x
  3. Step 3: Cross multiply
    57,225x = 120,882 × 120,882
  4. Step 4: Simplify right side
    57,225x = 14,612,457,924
  5. Step 5: Solve for x
    x = 14,612,457,924/57,225
  6. Step 6: Final answer
    x = 255,350.95

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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.