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Finding the Third Proportional to 57,730.22 and 86,361.19

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Solution

The third proportional to 57,730.22 and 86,361.19 is: 129,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,730.22 : 86,361.19 = 86,361.19 : x
  2. Step 2: Convert to fraction form
    57,730.22/86,361.19 = 86,361.19/x
  3. Step 3: Cross multiply
    57,730.22x = 86,361.19 × 86,361.19
  4. Step 4: Simplify right side
    57,730.22x = 7,458,254,706.41
  5. Step 5: Solve for x
    x = 7,458,254,706.41/57,730.22
  6. Step 6: Final answer
    x = 129,191.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.