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Finding the Third Proportional to 77,822 and 151,756

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Solution

The third proportional to 77,822 and 151,756 is: 295,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,822 : 151,756 = 151,756 : x
  2. Step 2: Convert to fraction form
    77,822/151,756 = 151,756/x
  3. Step 3: Cross multiply
    77,822x = 151,756 × 151,756
  4. Step 4: Simplify right side
    77,822x = 23,029,883,536
  5. Step 5: Solve for x
    x = 23,029,883,536/77,822
  6. Step 6: Final answer
    x = 295,930.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.