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Finding the Third Proportional to 47,331 and 101,951

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Solution

The third proportional to 47,331 and 101,951 is: 219,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,331 : 101,951 = 101,951 : x
  2. Step 2: Convert to fraction form
    47,331/101,951 = 101,951/x
  3. Step 3: Cross multiply
    47,331x = 101,951 × 101,951
  4. Step 4: Simplify right side
    47,331x = 10,394,006,401
  5. Step 5: Solve for x
    x = 10,394,006,401/47,331
  6. Step 6: Final answer
    x = 219,602.51

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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.