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Finding the Third Proportional to 76,714 and 158,753

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Solution

The third proportional to 76,714 and 158,753 is: 328,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,714 : 158,753 = 158,753 : x
  2. Step 2: Convert to fraction form
    76,714/158,753 = 158,753/x
  3. Step 3: Cross multiply
    76,714x = 158,753 × 158,753
  4. Step 4: Simplify right side
    76,714x = 25,202,515,009
  5. Step 5: Solve for x
    x = 25,202,515,009/76,714
  6. Step 6: Final answer
    x = 328,525.63

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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.