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Finding the Third Proportional to 40,683.75 and 85,741.50

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Solution

The third proportional to 40,683.75 and 85,741.50 is: 180,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,683.75 : 85,741.50 = 85,741.50 : x
  2. Step 2: Convert to fraction form
    40,683.75/85,741.50 = 85,741.50/x
  3. Step 3: Cross multiply
    40,683.75x = 85,741.50 × 85,741.50
  4. Step 4: Simplify right side
    40,683.75x = 7,351,604,822.25
  5. Step 5: Solve for x
    x = 7,351,604,822.25/40,683.75
  6. Step 6: Final answer
    x = 180,701.26

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.