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Finding the Third Proportional to 46,665 and 72,375

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Solution

The third proportional to 46,665 and 72,375 is: 112,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,665 : 72,375 = 72,375 : x
  2. Step 2: Convert to fraction form
    46,665/72,375 = 72,375/x
  3. Step 3: Cross multiply
    46,665x = 72,375 × 72,375
  4. Step 4: Simplify right side
    46,665x = 5,238,140,625
  5. Step 5: Solve for x
    x = 5,238,140,625/46,665
  6. Step 6: Final answer
    x = 112,249.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.