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Finding the Third Proportional to 40,108.50 and 85,323.75

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Solution

The third proportional to 40,108.50 and 85,323.75 is: 181,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,108.50 : 85,323.75 = 85,323.75 : x
  2. Step 2: Convert to fraction form
    40,108.50/85,323.75 = 85,323.75/x
  3. Step 3: Cross multiply
    40,108.50x = 85,323.75 × 85,323.75
  4. Step 4: Simplify right side
    40,108.50x = 7,280,142,314.06
  5. Step 5: Solve for x
    x = 7,280,142,314.06/40,108.50
  6. Step 6: Final answer
    x = 181,511.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.