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Finding the Third Proportional to 63,658.50 and 132,544.50

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Solution

The third proportional to 63,658.50 and 132,544.50 is: 275,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,658.50 : 132,544.50 = 132,544.50 : x
  2. Step 2: Convert to fraction form
    63,658.50/132,544.50 = 132,544.50/x
  3. Step 3: Cross multiply
    63,658.50x = 132,544.50 × 132,544.50
  4. Step 4: Simplify right side
    63,658.50x = 17,568,044,480.25
  5. Step 5: Solve for x
    x = 17,568,044,480.25/63,658.50
  6. Step 6: Final answer
    x = 275,973.27

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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.