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Finding the Third Proportional to 76,542.47 and 162,197.44

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Solution

The third proportional to 76,542.47 and 162,197.44 is: 343,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542.47 : 162,197.44 = 162,197.44 : x
  2. Step 2: Convert to fraction form
    76,542.47/162,197.44 = 162,197.44/x
  3. Step 3: Cross multiply
    76,542.47x = 162,197.44 × 162,197.44
  4. Step 4: Simplify right side
    76,542.47x = 26,308,008,731.57
  5. Step 5: Solve for x
    x = 26,308,008,731.57/76,542.47
  6. Step 6: Final answer
    x = 343,704.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.