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Finding the Third Proportional to 47,950 and 106,380

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Solution

The third proportional to 47,950 and 106,380 is: 236,010.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,950 : 106,380 = 106,380 : x
  2. Step 2: Convert to fraction form
    47,950/106,380 = 106,380/x
  3. Step 3: Cross multiply
    47,950x = 106,380 × 106,380
  4. Step 4: Simplify right side
    47,950x = 11,316,704,400
  5. Step 5: Solve for x
    x = 11,316,704,400/47,950
  6. Step 6: Final answer
    x = 236,010.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.