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Finding the Third Proportional to 47,324 and 101,938

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Solution

The third proportional to 47,324 and 101,938 is: 219,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324 : 101,938 = 101,938 : x
  2. Step 2: Convert to fraction form
    47,324/101,938 = 101,938/x
  3. Step 3: Cross multiply
    47,324x = 101,938 × 101,938
  4. Step 4: Simplify right side
    47,324x = 10,391,355,844
  5. Step 5: Solve for x
    x = 10,391,355,844/47,324
  6. Step 6: Final answer
    x = 219,578.98

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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.