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Finding the Third Proportional to 57,099 and 122,946.75

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Solution

The third proportional to 57,099 and 122,946.75 is: 264,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,099 : 122,946.75 = 122,946.75 : x
  2. Step 2: Convert to fraction form
    57,099/122,946.75 = 122,946.75/x
  3. Step 3: Cross multiply
    57,099x = 122,946.75 × 122,946.75
  4. Step 4: Simplify right side
    57,099x = 15,115,903,335.56
  5. Step 5: Solve for x
    x = 15,115,903,335.56/57,099
  6. Step 6: Final answer
    x = 264,731.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.