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Finding the Third Proportional to 57,852 and 120,312

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Solution

The third proportional to 57,852 and 120,312 is: 250,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,852 : 120,312 = 120,312 : x
  2. Step 2: Convert to fraction form
    57,852/120,312 = 120,312/x
  3. Step 3: Cross multiply
    57,852x = 120,312 × 120,312
  4. Step 4: Simplify right side
    57,852x = 14,474,977,344
  5. Step 5: Solve for x
    x = 14,474,977,344/57,852
  6. Step 6: Final answer
    x = 250,207.03

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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.