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Finding the Third Proportional to 63,576.75 and 96,183.50

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Solution

The third proportional to 63,576.75 and 96,183.50 is: 145,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,576.75 : 96,183.50 = 96,183.50 : x
  2. Step 2: Convert to fraction form
    63,576.75/96,183.50 = 96,183.50/x
  3. Step 3: Cross multiply
    63,576.75x = 96,183.50 × 96,183.50
  4. Step 4: Simplify right side
    63,576.75x = 9,251,265,672.25
  5. Step 5: Solve for x
    x = 9,251,265,672.25/63,576.75
  6. Step 6: Final answer
    x = 145,513.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.