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Finding the Third Proportional to 65,932.88 and 145,311.75

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Solution

The third proportional to 65,932.88 and 145,311.75 is: 320,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,932.88 : 145,311.75 = 145,311.75 : x
  2. Step 2: Convert to fraction form
    65,932.88/145,311.75 = 145,311.75/x
  3. Step 3: Cross multiply
    65,932.88x = 145,311.75 × 145,311.75
  4. Step 4: Simplify right side
    65,932.88x = 21,115,504,688.06
  5. Step 5: Solve for x
    x = 21,115,504,688.06/65,932.88
  6. Step 6: Final answer
    x = 320,257.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.