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Finding the Third Proportional to 77,571 and 160,902

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Solution

The third proportional to 77,571 and 160,902 is: 333,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,571 : 160,902 = 160,902 : x
  2. Step 2: Convert to fraction form
    77,571/160,902 = 160,902/x
  3. Step 3: Cross multiply
    77,571x = 160,902 × 160,902
  4. Step 4: Simplify right side
    77,571x = 25,889,453,604
  5. Step 5: Solve for x
    x = 25,889,453,604/77,571
  6. Step 6: Final answer
    x = 333,751.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.