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Finding the Third Proportional to 76,005 and 175,933

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Solution

The third proportional to 76,005 and 175,933 is: 407,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,005 : 175,933 = 175,933 : x
  2. Step 2: Convert to fraction form
    76,005/175,933 = 175,933/x
  3. Step 3: Cross multiply
    76,005x = 175,933 × 175,933
  4. Step 4: Simplify right side
    76,005x = 30,952,420,489
  5. Step 5: Solve for x
    x = 30,952,420,489/76,005
  6. Step 6: Final answer
    x = 407,241.90

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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.