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Finding the Third Proportional to 57,100 and 120,353

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Solution

The third proportional to 57,100 and 120,353 is: 253,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,100 : 120,353 = 120,353 : x
  2. Step 2: Convert to fraction form
    57,100/120,353 = 120,353/x
  3. Step 3: Cross multiply
    57,100x = 120,353 × 120,353
  4. Step 4: Simplify right side
    57,100x = 14,484,844,609
  5. Step 5: Solve for x
    x = 14,484,844,609/57,100
  6. Step 6: Final answer
    x = 253,675.04

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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.