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Finding the Third Proportional to 47,541 and 102,099

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Solution

The third proportional to 47,541 and 102,099 is: 219,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,541 : 102,099 = 102,099 : x
  2. Step 2: Convert to fraction form
    47,541/102,099 = 102,099/x
  3. Step 3: Cross multiply
    47,541x = 102,099 × 102,099
  4. Step 4: Simplify right side
    47,541x = 10,424,205,801
  5. Step 5: Solve for x
    x = 10,424,205,801/47,541
  6. Step 6: Final answer
    x = 219,267.70

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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.