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Finding the Third Proportional to 57,254 and 116,125

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Solution

The third proportional to 57,254 and 116,125 is: 235,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,254 : 116,125 = 116,125 : x
  2. Step 2: Convert to fraction form
    57,254/116,125 = 116,125/x
  3. Step 3: Cross multiply
    57,254x = 116,125 × 116,125
  4. Step 4: Simplify right side
    57,254x = 13,485,015,625
  5. Step 5: Solve for x
    x = 13,485,015,625/57,254
  6. Step 6: Final answer
    x = 235,529.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.