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Finding the Third Proportional to 30,175.50 and 71,145

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Solution

The third proportional to 30,175.50 and 71,145 is: 167,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.50 : 71,145 = 71,145 : x
  2. Step 2: Convert to fraction form
    30,175.50/71,145 = 71,145/x
  3. Step 3: Cross multiply
    30,175.50x = 71,145 × 71,145
  4. Step 4: Simplify right side
    30,175.50x = 5,061,611,025
  5. Step 5: Solve for x
    x = 5,061,611,025/30,175.50
  6. Step 6: Final answer
    x = 167,739.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.