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Finding the Third Proportional to 72,711 and 155,790

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Solution

The third proportional to 72,711 and 155,790 is: 333,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,711 : 155,790 = 155,790 : x
  2. Step 2: Convert to fraction form
    72,711/155,790 = 155,790/x
  3. Step 3: Cross multiply
    72,711x = 155,790 × 155,790
  4. Step 4: Simplify right side
    72,711x = 24,270,524,100
  5. Step 5: Solve for x
    x = 24,270,524,100/72,711
  6. Step 6: Final answer
    x = 333,794.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.