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Finding the Third Proportional to 47,198 and 72,435

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Solution

The third proportional to 47,198 and 72,435 is: 111,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,198 : 72,435 = 72,435 : x
  2. Step 2: Convert to fraction form
    47,198/72,435 = 72,435/x
  3. Step 3: Cross multiply
    47,198x = 72,435 × 72,435
  4. Step 4: Simplify right side
    47,198x = 5,246,829,225
  5. Step 5: Solve for x
    x = 5,246,829,225/47,198
  6. Step 6: Final answer
    x = 111,166.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.