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Finding the Third Proportional to 31,166.50 and 67,085

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Solution

The third proportional to 31,166.50 and 67,085 is: 144,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166.50 : 67,085 = 67,085 : x
  2. Step 2: Convert to fraction form
    31,166.50/67,085 = 67,085/x
  3. Step 3: Cross multiply
    31,166.50x = 67,085 × 67,085
  4. Step 4: Simplify right side
    31,166.50x = 4,500,397,225
  5. Step 5: Solve for x
    x = 4,500,397,225/31,166.50
  6. Step 6: Final answer
    x = 144,398.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.