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Finding the Third Proportional to 78,861.50 and 171,033.50

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Solution

The third proportional to 78,861.50 and 171,033.50 is: 370,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,861.50 : 171,033.50 = 171,033.50 : x
  2. Step 2: Convert to fraction form
    78,861.50/171,033.50 = 171,033.50/x
  3. Step 3: Cross multiply
    78,861.50x = 171,033.50 × 171,033.50
  4. Step 4: Simplify right side
    78,861.50x = 29,252,458,122.25
  5. Step 5: Solve for x
    x = 29,252,458,122.25/78,861.50
  6. Step 6: Final answer
    x = 370,934.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.