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Finding the Third Proportional to 57,094 and 120,343

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Solution

The third proportional to 57,094 and 120,343 is: 253,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,094 : 120,343 = 120,343 : x
  2. Step 2: Convert to fraction form
    57,094/120,343 = 120,343/x
  3. Step 3: Cross multiply
    57,094x = 120,343 × 120,343
  4. Step 4: Simplify right side
    57,094x = 14,482,437,649
  5. Step 5: Solve for x
    x = 14,482,437,649/57,094
  6. Step 6: Final answer
    x = 253,659.54

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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.