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Finding the Third Proportional to 77,714 and 160,956

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Solution

The third proportional to 77,714 and 160,956 is: 333,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,714 : 160,956 = 160,956 : x
  2. Step 2: Convert to fraction form
    77,714/160,956 = 160,956/x
  3. Step 3: Cross multiply
    77,714x = 160,956 × 160,956
  4. Step 4: Simplify right side
    77,714x = 25,906,833,936
  5. Step 5: Solve for x
    x = 25,906,833,936/77,714
  6. Step 6: Final answer
    x = 333,361.22

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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.