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Finding the Third Proportional to 65,546.72 and 142,770.52

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Solution

The third proportional to 65,546.72 and 142,770.52 is: 310,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,546.72 : 142,770.52 = 142,770.52 : x
  2. Step 2: Convert to fraction form
    65,546.72/142,770.52 = 142,770.52/x
  3. Step 3: Cross multiply
    65,546.72x = 142,770.52 × 142,770.52
  4. Step 4: Simplify right side
    65,546.72x = 20,383,420,131.83
  5. Step 5: Solve for x
    x = 20,383,420,131.83/65,546.72
  6. Step 6: Final answer
    x = 310,975.45

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