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Finding the Third Proportional to 57,665 and 125,765

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Solution

The third proportional to 57,665 and 125,765 is: 274,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,665 : 125,765 = 125,765 : x
  2. Step 2: Convert to fraction form
    57,665/125,765 = 125,765/x
  3. Step 3: Cross multiply
    57,665x = 125,765 × 125,765
  4. Step 4: Simplify right side
    57,665x = 15,816,835,225
  5. Step 5: Solve for x
    x = 15,816,835,225/57,665
  6. Step 6: Final answer
    x = 274,288.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.