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Finding the Third Proportional to 76,002.75 and 175,928.20

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Solution

The third proportional to 76,002.75 and 175,928.20 is: 407,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,002.75 : 175,928.20 = 175,928.20 : x
  2. Step 2: Convert to fraction form
    76,002.75/175,928.20 = 175,928.20/x
  3. Step 3: Cross multiply
    76,002.75x = 175,928.20 × 175,928.20
  4. Step 4: Simplify right side
    76,002.75x = 30,950,732,654.79
  5. Step 5: Solve for x
    x = 30,950,732,654.79/76,002.75
  6. Step 6: Final answer
    x = 407,231.75

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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.