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Finding the Third Proportional to 75,996 and 175,930

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Solution

The third proportional to 75,996 and 175,930 is: 407,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,996 : 175,930 = 175,930 : x
  2. Step 2: Convert to fraction form
    75,996/175,930 = 175,930/x
  3. Step 3: Cross multiply
    75,996x = 175,930 × 175,930
  4. Step 4: Simplify right side
    75,996x = 30,951,364,900
  5. Step 5: Solve for x
    x = 30,951,364,900/75,996
  6. Step 6: Final answer
    x = 407,276.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.