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Finding the Third Proportional to 116,714 and 175,027

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Solution

The third proportional to 116,714 and 175,027 is: 262,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,714 : 175,027 = 175,027 : x
  2. Step 2: Convert to fraction form
    116,714/175,027 = 175,027/x
  3. Step 3: Cross multiply
    116,714x = 175,027 × 175,027
  4. Step 4: Simplify right side
    116,714x = 30,634,450,729
  5. Step 5: Solve for x
    x = 30,634,450,729/116,714
  6. Step 6: Final answer
    x = 262,474.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.