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Finding the Third Proportional to 57,050 and 122,086

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Solution

The third proportional to 57,050 and 122,086 is: 261,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,050 : 122,086 = 122,086 : x
  2. Step 2: Convert to fraction form
    57,050/122,086 = 122,086/x
  3. Step 3: Cross multiply
    57,050x = 122,086 × 122,086
  4. Step 4: Simplify right side
    57,050x = 14,904,991,396
  5. Step 5: Solve for x
    x = 14,904,991,396/57,050
  6. Step 6: Final answer
    x = 261,261.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.