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Finding the Third Proportional to 81,805.50 and 173,500.50

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Solution

The third proportional to 81,805.50 and 173,500.50 is: 367,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,805.50 : 173,500.50 = 173,500.50 : x
  2. Step 2: Convert to fraction form
    81,805.50/173,500.50 = 173,500.50/x
  3. Step 3: Cross multiply
    81,805.50x = 173,500.50 × 173,500.50
  4. Step 4: Simplify right side
    81,805.50x = 30,102,423,500.25
  5. Step 5: Solve for x
    x = 30,102,423,500.25/81,805.50
  6. Step 6: Final answer
    x = 367,975.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.