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Finding the Third Proportional to 72,199 and 173,934

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Solution

The third proportional to 72,199 and 173,934 is: 419,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,199 : 173,934 = 173,934 : x
  2. Step 2: Convert to fraction form
    72,199/173,934 = 173,934/x
  3. Step 3: Cross multiply
    72,199x = 173,934 × 173,934
  4. Step 4: Simplify right side
    72,199x = 30,253,036,356
  5. Step 5: Solve for x
    x = 30,253,036,356/72,199
  6. Step 6: Final answer
    x = 419,022.93

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.