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Finding the Third Proportional to 63,538.75 and 132,344.50

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Solution

The third proportional to 63,538.75 and 132,344.50 is: 275,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,538.75 : 132,344.50 = 132,344.50 : x
  2. Step 2: Convert to fraction form
    63,538.75/132,344.50 = 132,344.50/x
  3. Step 3: Cross multiply
    63,538.75x = 132,344.50 × 132,344.50
  4. Step 4: Simplify right side
    63,538.75x = 17,515,066,680.25
  5. Step 5: Solve for x
    x = 17,515,066,680.25/63,538.75
  6. Step 6: Final answer
    x = 275,659.60

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.