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Finding the Third Proportional to 80,365.50 and 175,017

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Solution

The third proportional to 80,365.50 and 175,017 is: 381,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,365.50 : 175,017 = 175,017 : x
  2. Step 2: Convert to fraction form
    80,365.50/175,017 = 175,017/x
  3. Step 3: Cross multiply
    80,365.50x = 175,017 × 175,017
  4. Step 4: Simplify right side
    80,365.50x = 30,630,950,289
  5. Step 5: Solve for x
    x = 30,630,950,289/80,365.50
  6. Step 6: Final answer
    x = 381,145.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.