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Finding the Third Proportional to 77,115.50 and 178,504.50

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Solution

The third proportional to 77,115.50 and 178,504.50 is: 413,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,115.50 : 178,504.50 = 178,504.50 : x
  2. Step 2: Convert to fraction form
    77,115.50/178,504.50 = 178,504.50/x
  3. Step 3: Cross multiply
    77,115.50x = 178,504.50 × 178,504.50
  4. Step 4: Simplify right side
    77,115.50x = 31,863,856,520.25
  5. Step 5: Solve for x
    x = 31,863,856,520.25/77,115.50
  6. Step 6: Final answer
    x = 413,196.52

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.