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Finding the Third Proportional to 57,069 and 120,510

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Solution

The third proportional to 57,069 and 120,510 is: 254,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,069 : 120,510 = 120,510 : x
  2. Step 2: Convert to fraction form
    57,069/120,510 = 120,510/x
  3. Step 3: Cross multiply
    57,069x = 120,510 × 120,510
  4. Step 4: Simplify right side
    57,069x = 14,522,660,100
  5. Step 5: Solve for x
    x = 14,522,660,100/57,069
  6. Step 6: Final answer
    x = 254,475.46

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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.