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Finding the Third Proportional to 76,193.25 and 175,234.31

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Solution

The third proportional to 76,193.25 and 175,234.31 is: 403,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,193.25 : 175,234.31 = 175,234.31 : x
  2. Step 2: Convert to fraction form
    76,193.25/175,234.31 = 175,234.31/x
  3. Step 3: Cross multiply
    76,193.25x = 175,234.31 × 175,234.31
  4. Step 4: Simplify right side
    76,193.25x = 30,707,064,277.35
  5. Step 5: Solve for x
    x = 30,707,064,277.35/76,193.25
  6. Step 6: Final answer
    x = 403,015.55

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.