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Finding the Third Proportional to 84,793.50 and 182,567.25

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Solution

The third proportional to 84,793.50 and 182,567.25 is: 393,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,793.50 : 182,567.25 = 182,567.25 : x
  2. Step 2: Convert to fraction form
    84,793.50/182,567.25 = 182,567.25/x
  3. Step 3: Cross multiply
    84,793.50x = 182,567.25 × 182,567.25
  4. Step 4: Simplify right side
    84,793.50x = 33,330,800,772.56
  5. Step 5: Solve for x
    x = 33,330,800,772.56/84,793.50
  6. Step 6: Final answer
    x = 393,082.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.